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Question 1
If x and y are positive acute angles such that sin(4x − y) = 1 and cos(2x + y) = 1/2, then what is the value of cot (x + 2y)?
Question 2
Find the minimum value of 3 sin2θ+ 4 cos2θ?
Question 3
If 
then 
is equal to
then is equal to Question 4
The greatest value of 
is
is Question 5
From the top of a tower 60 meters high, the angle of depression of the top and bottom of a pole are observed to be 45° and 60° respectively. If the pole and tower stand on the same plane, the height of the pole in meters is how much?
Question 6
A boat is moving away from an observation tower. It makes an angle of depression of 60° with an observer's eye when at a distance of 50m from the tower. After 8 seconds, the angle of depression becomes 30°. By assuming that it is running in still water, find out the speed of the boat.
Question 7
The value of sin2 30o cos2 45o + 5 tan2 30o + 
sin2 90o – 3 cos2 90o is
sin2 90o – 3 cos2 90o is Question 8
If A, B and C be the angles of a triangle, then of the following the incorrect relation is :
Question 9
The value of [cosec260° + sec260° – cot260° + tan230°] will be:
Question 10
If Cos3θ-Sec3θ =36, then find the value of cosθ – secθ is.
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May 21CDS & Defence
