# CBSE Class X HOTS Questions of Mathematics (Trigonometry)

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## Class X : HOTS Question Answers: Math Unit – 6 (Trigonometry)

### Trigonometry

1. If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.

2. Prove that sec2θ+cosec2θ can never be less than 2.

8. If A, B are acute angles and sinA= cosB, then find the value of A+B.

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plzz can u send me some problems on trigonometry and quadratic equations to my mail id..

or plzz tell me the website where i can find them.

yashwanth on 15 Dec 2010A window of a house is'h' metres above the ground,from the angle of elevation and depression of the top and the bottom of another house situated at the opposite lane are found to be alpha and beta,respectively.prove that the heihgt of the other house is

h(1+ tan alpha.cot beta).

Aswathi Sivaram on 21 Dec 2010the angle of elevation of a jet from a point A on the ground is 60 degree. after a flight of 15 secs, the angle of elevation changes to 30 degree. the jet is flying at a speed of 720kmph. Find the constant height of the jet.

Lino on 02 Jan 2011If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2

robin on 06 Jan 2011In 2011 march board examination questions are asked from only 2nd term?

CHANDAN PASWAN on 10 Jan 2011i m in stndrd 10…so cn u plzz hlp me wid trignometry questions…cn plzz snd me more questions 2 my id…plzz

vrisha on 19 Mar 2011f xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.

akansha on 29 May 2011If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.

really a nice question but i'm not able to get it in the second step

akansha on 29 May 2011please send me some problems related to trignometry for class 10 to my mail i.d

ankita on 03 Jun 2011if two zeroes of the polynomial f(x)=x4-6×3-26×2+138x-35 are 2+_3 and 2-_3.find the other zeroes.

aaliya on 07 Jun 20112. Prove that sec2θ+cosec2θ can never be less than 2.

8. If A, B are acute angles and sinA= cosB, then find the value of A+B.

1. If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2

shikha on 09 Jun 2011Prove that sec2θ-(sin2θ-2sin4θ/2cos4θ-cos2θ)=1…….plz solve this one and also mail me some sums related to trigonometry.

—–Thank You!!

Anshu on 18 Jun 2011please send me the answer for this question

(cos A/1-tan A)+(sin A/1-cot A)=cos A + sin A

jithin chacko on 01 Aug 2011cosA=sinA Find A56f77777777775de443uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu

rani on 20 Aug 2011Can u send me sample papers for class X to my e-mail id

please send me some problems related to trignometry for class 10 to my mail i.d

Praisy on 21 Aug 2011cos0 -tan0/cosec0+tan0= sec0-tan0 please show mor prove this identity

indu on 02 Sep 20111)Simplyfy : 2(sin^6A+cos^6A)-2(sin^4A+cos^4)

sin^6,cos^6=Sin to the power and cos to the power

2) Find Value of : Sin^6+Cos^6

Alfred on 04 Sep 2011Can u send me sample papers for class X to my e-mail id

please send me some problems related to trignometry for class 10 to my mail i.d [email protected]

rohan on 11 Sep 2011I want trignometry sums of last year board paper of class x for practising for my halfyearly exams

rohan on 11 Sep 2011these all ar so easy any on hav the guts to send me a question that i cannot do on Trignometric identities…if ys the send it on my id…

akshay on 11 Sep 2011(cos A/1-tan A)+(sin A/1-cot A)=cos A + sin A

Solution:

=[cosA/1-(sinA/cosA)]+[sinA/1-(cosA/sinA)]

=[cosA/(cosA-sinA)/cosA]+[sinA/(sinA-cosA)/sinA]

=[cos^2A/cosA-sinA]+[sin^2A/sinA-cosA]

=[cos^2A/cosA-sinA]-[sin^2A/cosA-sinA]

=cos^2A-sin^2A/cosA-sinA

=(cosA+sinA)(cosA-sinA)/(cosA-sinA)

=cosA+sinA

=R.H.S

Radha on 14 Sep 2011plz send me some important question related to trigonometry i want to solve them nd want to do well in exam plz send on my e mail i.d

richa khatana on 17 Sep 2011want some important question of trigonometry identites nd complimentary angles send on my e mail i.d

richa khatana on 17 Sep 2011tan(A+B)=ROOT 3 AND tan(A-B)=1/ROOT 3 THEN find A and B want ans of dis question nd want some important question on trigonometry send it to on my e mail i.d

–

richa khatana on 17 Sep 20112sin2(2x) + 5sin(2x) -3 = 0

find all solutions on the interval (0, 2π)

yash on 18 Sep 2011Tan2Ѳ – 5tanѲ + 1 = 0 (given)

Find the value of tan2 Ѳ + cot2Ѳ ?

it is not 2 it is square

harshal mehta on 20 Sep 2011please send me extra questions on trignometry upto 10 level on my id [email protected]

sarthak on 13 Nov 2011The angle of elevation of the top of a tower from a point A on the ground is 30 degree.On moving a distance of 20 meters towards the foot of the tower to a point B, the angle of elevation increases to 60 degree.Find the height of the tower and the distance of the tower from the point A.?

SAFNA on 10 Jan 2012Prove that :

(1+cotA+tanA)(sinA-cosA)/ sec3A-cosec3S = sni2A*cos2A

Ajay Gaikwad on 21 Feb 2012the angle of elevation of a jet from a point A on the ground is 60 degree. after a flight of 10 secs, the angle of elevation changes to 30 degree. the jet is flying at a speed of 648kmph. Find the constant height of the jet.

Sushant Nautiyal on 24 Feb 2012Please can you send me the question bank of trignometry and polynomials for class tenth

Nitin garud on 21 Apr 2012send me 100 questions of trigonometry on my e mail id because i always have problem in solving them.

anshul on 04 Jun 2012provethat

(1+cotA+tanA)(sinA-cosA)=sinAtanA-cotAcosA

PLEASE HELP ME THIS IS FROM INTRODUCTION TO TRIGNOMETRY

mammadkutty on 15 Jun 2012if sin titha plus sin2 titha = 1 evaluate cos12 titha + 3 cos10 titha + 3cos8 titha +cos6 titha +2cos4titha +2cos2 titha -2

animesh on 22 Jul 2012If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.

johny singh on 29 Jul 2012prove that using trignometric identities:

sin2 thita + cos6 thita = cos2 thita + sin4 thita

Abhinav tripathi on 05 Aug 2012if tan A+1/tanA=2. prove that tan square A+1/TAN SQUARE

a

please try prove this problem and give me the answer

DURGA on 11 Aug 2012what is trigonometry according to mathematics and what are trigonometric ratios and how are they derived?

Pravesh on 14 Aug 2012Why we cannot take other than right triangle in trignometry??? This question is mainly for akshay as he challenged us

I will not tell on 15 Aug 2012if tan A = n and tan B and SIN a = m sin B , prove that COS2 A= M2-1/N2-1

PADMAJA on 19 Aug 2012if tan A = n tan B and sin A = m sin B , prove that cos2 A = m2-1/n2-1

PADMAJA on 19 Aug 2012if x sin3 k + y cos3 = sink cos k and x sin k = y cos k , prove x2+y2= 1

PADMAJA on 19 Aug 2012if x/a cosA+ y/b sinA =1 and x/a sinA – y/b cosA = 1, prove that x2/a2 + y2/b2 = 2

lakshmi on 21 Aug 2012Prove that , ( (1/sec2θ-cos2θ)+( 1/cosec2θ-sin2θ) ) X sin2θ cos2θ =( 1- sin2θ cos2θ)/(2+ sin2θ cos2θ)

Sarbajeet on 25 Aug 2012please help me :-

Q:if sinA + sin2A = 1

cos12A + 3cos10A + 3cos8A + cos6A +2cos4A + cos2A = 2 +sin2A

rahul bisht on 31 Aug 2012pl. help me with the solution for the following problem

sec(Ø+6)=cos(Ø-6) find sin 2Ø

Sai Shreya on 31 Aug 2012@(THITA)(1) prove that (cosec@-sin@)(sec@-cos@)= 1/tan@+cot@

(2)IF COS@+SIN@=ROOT2COS@ SHOW THAT COS@-SIN@=ROOT2SIN@

(3) EVALUATE SEC@.COSEC@(90-@)-TAN@.COT@(90-@)+SINSIN SQUARE55+SIN SQUARE35/TAN10.TAN20.TAN60.TAN70.TAN80=2/5

(4)PROVE THAT (COSECA-SINA)(SECA-COSA)(TANA+COTA)=1

(5)PROVE THAT TAN DEGREE 1.TAN DEGREE2.TAN DEGREE 3———-TAN 89=1

GIVE ANSWERS AS SOON AS POSSIBLE WITHIN FEW HOURS

PRIYA JAIN on 02 Sep 2012prove that sinA (1+tanA)+cosA(1+cotA) =secA+cosecA

if cosec thita=x+1\4x then prove that cosec thita+cot thita = 2x or 1\2x

poojan on 03 Sep 2012If

Cosec sin = a³

sec – cos = b³ then prove that

a²b²(a²+b²)=1

vijay kumar on 06 Sep 2012If 3sinA+5cosA=5,

then prove that 5sinA-3CosA=+_3.

Give answer as soon as possible..

Sourabh on 09 Sep 2012in question based on real numbers it is difficult to understand when to take lcm or when to take hcf. please help me

ratan on 11 Sep 2012If sin@+tan@=x , sin@-tan@=y then prove that xsquare-ysquare =4rootxy ?

Ashish on 13 Sep 2012given:

tanA=ntanB

sinA=msinB

PROVE THAT:

COS^2A= (n^2-1)/(m^2-1)

QUESTION OF CH- INTRODUCTION TO TRIGONOMETRY

shubhangi singh on 17 Sep 2012Prove that 1+secA/secA = Sin2A/1-CosA

try doin this Admin!!! this is de question frm class 10 preparotory ex.

Aaron S George on 19 Sep 2012If cos beta / cos beta = n and sin alpha / sin beta = m, then show that (m2-n2) sin2 beta = 1-n2

Clive Riche on 28 Sep 2012Without using trigonometric tables, show that tan 7o tan 23o tan 60o tan 67 o tan 83o =

shivangi on 30 Sep 2012what is the answer to this question

i tried it a lot but i did not get the answer

please help

the question is

7sin2 θ + 3 cos2θ = 4 show that tan θ = 1/√3

allen mathew on 30 Sep 2012in a right triangle ABC right angle at B , if tanA =1 ,then thevalue of 2sinA.cosA is ?

meenakshi on 07 Oct 2012cotβ = 2n²+2m/ m²+2mn then show that cosec²β = m²+2mn+2n/m²+2mn

yashashree on 15 Nov 2012i want mcq questions regarding ch.trignometric ratios and identities of class10th.

shalini. on 22 Nov 2012a round balloon of radius r subtends an angle alpha at the eye of the observer while the angle of elevation of its centre is beta. prove that the height of the centre of the balloon is alpha sin beta cosec alpha/2.

diksha saiwal on 02 Dec 2012AB is a chord of lenght 9.6cm of a circle with centre O and radius 6 cm.If the tangents at A and B intersects at point P then find the lenght of PA.

Adarsh on 11 Dec 2012A boy standing on a horizontal plane finds a bird flying at a distance of 100m from him at an elevation of 30degree. A gril standing on the roof of 20 m high building finds the angle of elevation of the same bird to be 45 degree. Both boy and girl are on opposite sides of the bird. find the distance of bird from the girl?

sibil on 19 Dec 2012how to prove trigonometric problems of sub multiple angles like sina/2+cos b

sabin on 01 Feb 2013i want to solve the hardest……….the toughest …….. questions of maths of class 10 of cbse and icse board

pawan patel on 14 Feb 2013I WANT TO GIVE THE ANSWERS BUT YOU ALL ALSO GIVE QUESTIONS WITH ANSWERS

pawan patel on 14 Feb 2013why -*-=+ plzzzzzzzzzzzzzzzzzzz.. tell the answer as soos as possible plzzzzzzzzzzz…………………………………………………………………………………….

pawan patel on 14 Feb 2013an aeroplane flying 1 km above the ground is observed at an elevation of 60 degress.After a flight of 10 seconds,its angle of elevation is observed to be 30 degrees from the same point on the ground.Find the speed of aeroplane in km/hr… please reply immediately cuz tmrw i hve my board exams

vivardhini on 01 Mar 2013given sec theta + tan theta = 1.5 find value of sec theta?

show all steps.

thanks

gsunandani on 25 Mar 2013given sec theta + tan theta=1.5 find value of sec theta

show all steps

veenadhari on 03 Jun 2013FROM THE TOP OF THE BUILDING 60m HIGH THE ANGLES OF DEPRESSION OF THE TOP AND BOTTOM OF A VERTICAL LAMPPOST ARE OBSERVE TO BE 30 AND 60 RESPECTIVELY . TO FIND

1) THE HORIZONTAL DISTANCE BETWEEN THE BUILDING AND LAMPPOST

2)HEIGHT OF THE LAMPPOST

THANUSHREE on 06 Oct 2013theangle of elevation of a ladder leaning agnaist a house wall is 60degree , and foot of the laadder is 9.5m away from the . find the length of the ladder

sati on 19 Oct 2013cotβ = 2n²+2m/ m²+2mn then show that

cosec²β = m²+2mn+2n/m²+2mn

jyoti on 22 Dec 2014