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Question 1
If x= sin 27 ° - cos 243 ° and y = sin 27 ° + cos 153 °. The value of (x – y)2 is equal to value of:
Question 2
If sin 24 ° = 
, Find: sec2 66 ° + tan 66 °.
, Find: sec2 66 ° + tan 66 °. Question 3
If sinθ.sec2θ = 1, find the value of tan2θ.
Question 4
If A = cos2θ + sin4θ , then A cannot be?
Question 5
If θ is acute and tan θ +cot θ=2, find the value of tan7θ +cot7θ
Question 6
If Sec A – Cosec A = 0. Find tan2A + Sec2A?
Question 7
A bike is standing 10 m away from the foot of a tower making an angle of elevation of 30 degree with the top of the tower. It moves forward by some distance towards the tower in 4 seconds and then the angle of depression from the top of the tower is 60 degree. Find by what speed it moves forward towards the tower.
Question 8
If the elevation of the Sun changes from 30° to 60°, then the difference between the lengths of shadows of a pole 15 m high, is:
Question 9
In an ∆ABC, AB : BC = 3 : 1 and ∆ABC is right-angled at B. Find the value of sin C + cot A:
Question 10
An observer finds that the angular elevation of a tower is A, on advancing 3 m towards the tower the elevation is 45o, and on advancing 2m further, the elevation is 90o–A, the height of the tower is
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Jun 3SSC & Railway
