CBSE Class X HOTS Questions of Mathematics (Trigonometry) 2012
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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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theangle 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
FROM 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
given sec theta + tan theta=1.5 find value of sec theta
show all steps
given sec theta + tan theta = 1.5 find value of sec theta?
show all steps.
thanks
an 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
why *=+ plzzzzzzzzzzzzzzzzzzz.. tell the answer as soos as possible plzzzzzzzzzzz…………………………………………………………………………………….
I WANT TO GIVE THE ANSWERS BUT YOU ALL ALSO GIVE QUESTIONS WITH ANSWERS
i want to solve the hardest……….the toughest …….. questions of maths of class 10 of cbse and icse board
how to prove trigonometric problems of sub multiple angles like sina/2+cos b
A 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?
AB 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.
a 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.
i want mcq questions regarding ch.trignometric ratios and identities of class10th.
cotβ = 2n²+2m/ m²+2mn then show that cosec²β = m²+2mn+2n/m²+2mn
in a right triangle ABC right angle at B , if tanA =1 ,then thevalue of 2sinA.cosA is ?
what 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
Without using trigonometric tables, show that tan 7o tan 23o tan 60o tan 67 o tan 83o =
If cos beta / cos beta = n and sin alpha / sin beta = m, then show that (m2n2) sin2 beta = 1n2
Prove that 1+secA/secA = Sin2A/1CosA
try doin this Admin!!! this is de question frm class 10 preparotory ex.
given:
tanA=ntanB
sinA=msinB
PROVE THAT:
COS^2A= (n^21)/(m^21)
QUESTION OF CH INTRODUCTION TO TRIGONOMETRY
If sin@+tan@=x , sin@tan@=y then prove that xsquareysquare =4rootxy ?
in question based on real numbers it is difficult to understand when to take lcm or when to take hcf. please help me
If 3sinA+5cosA=5,
then prove that 5sinA3CosA=+_3.
Give answer as soon as possible..
If
Cosec sin = a³
sec – cos = b³ then prove that
a²b²(a²+b²)=1
prove 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
@(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 (COSECASINA)(SECACOSA)(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
pl. help me with the solution for the following problem
sec(Ø+6)=cos(Ø6) find sin 2Ø
please help me :
Q:if sinA + sin2A = 1
cos12A + 3cos10A + 3cos8A + cos6A +2cos4A + cos2A = 2 +sin2A
Prove that , ( (1/sec2θcos2θ)+( 1/cosec2θsin2θ) ) X sin2θ cos2θ =( 1 sin2θ cos2θ)/(2+ sin2θ cos2θ)
if x/a cosA+ y/b sinA =1 and x/a sinA – y/b cosA = 1, prove that x2/a2 + y2/b2 = 2
if x sin3 k + y cos3 = sink cos k and x sin k = y cos k , prove x2+y2= 1
if tan A = n tan B and sin A = m sin B , prove that cos2 A = m21/n21
if tan A = n and tan B and SIN a = m sin B , prove that COS2 A= M21/N21
Why we cannot take other than right triangle in trignometry??? This question is mainly for akshay as he challenged us
what is trigonometry according to mathematics and what are trigonometric ratios and how are they derived?
if tan A+1/tanA=2. prove that tan square A+1/TAN SQUARE
a
please try prove this problem and give me the answer
prove that using trignometric identities:
sin2 thita + cos6 thita = cos2 thita + sin4 thita
If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.
if sin titha plus sin2 titha = 1 evaluate cos12 titha + 3 cos10 titha + 3cos8 titha +cos6 titha +2cos4titha +2cos2 titha 2
provethat
(1+cotA+tanA)(sinAcosA)=sinAtanAcotAcosA
PLEASE HELP ME THIS IS FROM INTRODUCTION TO TRIGNOMETRY
send me 100 questions of trigonometry on my e mail id because i always have problem in solving them.
Please can you send me the question bank of trignometry and polynomials for class tenth
the 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.
Prove that :
(1+cotA+tanA)(sinAcosA)/ sec3Acosec3S = sni2A*cos2A
The 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.?
please send me extra questions on trignometry upto 10 level on my id sgcoolsarthak@gmail.com
Tan2Ѳ – 5tanѲ + 1 = 0 (given)
Find the value of tan2 Ѳ + cot2Ѳ ?
it is not 2 it is square
2sin2(2x) + 5sin(2x) 3 = 0
find all solutions on the interval (0, 2π)
tan(A+B)=ROOT 3 AND tan(AB)=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

want some important question of trigonometry identites nd complimentary angles send on my e mail i.d
plz 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
(cos A/1tan A)+(sin A/1cot A)=cos A + sin A
Solution:
=[cosA/1(sinA/cosA)]+[sinA/1(cosA/sinA)]
=[cosA/(cosAsinA)/cosA]+[sinA/(sinAcosA)/sinA]
=[cos^2A/cosAsinA]+[sin^2A/sinAcosA]
=[cos^2A/cosAsinA][sin^2A/cosAsinA]
=cos^2Asin^2A/cosAsinA
=(cosA+sinA)(cosAsinA)/(cosAsinA)
=cosA+sinA
=R.H.S
these 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…
I want trignometry sums of last year board paper of class x for practising for my halfyearly exams
Can u send me sample papers for class X to my email id
please send me some problems related to trignometry for class 10 to my mail i.d goldy7396@gmail.com
1)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
cos0 tan0/cosec0+tan0= sec0tan0 please show mor prove this identity
Can u send me sample papers for class X to my email id
please send me some problems related to trignometry for class 10 to my mail i.d
cosA=sinA Find A56f77777777775de443uuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu
please send me the answer for this question
(cos A/1tan A)+(sin A/1cot A)=cos A + sin A
Prove that sec2θ(sin2θ2sin4θ/2cos4θcos2θ)=1…….plz solve this one and also mail me some sums related to trigonometry.
—–Thank You!!
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.
1. If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2
if two zeroes of the polynomial f(x)=x46×326×2+138x35 are 2+_3 and 2_3.find the other zeroes.
please send me some problems related to trignometry for class 10 to my mail i.d
If 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
f xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2.
i m in stndrd 10…so cn u plzz hlp me wid trignometry questions…cn plzz snd me more questions 2 my id…plzz
In 2011 march board examination questions are asked from only 2nd term?
If xcosθ – ysinθ = a, xsinθ + ycos θ = b, prove that x2+y2=a2+b2
the 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.
A 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).
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.