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Question 1
The minimum value of 2sin2θ + 3cos2θ is:
Question 2
If secθ + tanθ = 2; then the value of secθ is:
Question 3
A boat is sailing towards a lighthouse of height 20√3 m at a certain speed. The angle of elevation of the top of the lighthouse changes from 30° to 60° in 10 seconds. What is the time taken (in seconds) by the boat to reach the lighthouse from its initial position?
Question 4
If tanθ = 1/√11 and 0 < θ < Π/2; then the value of 
is:
is: Question 5
If tanθ = 
; then (sin α + cos α) is:
; then (sin α + cos α) is:Question 6
If cos(A/2) = x; then the value of x is:
Question 7
If cos θ = 4/5; then the value of 
is:
is: Question 8
If the angles of elevation of a balloon from two consecutive kilometre-stones along a road are 30° and 60° respectively, then the height of the balloon above the ground will be:
Question 9
If 3 sinθ + 4 cos θ = 5 (0 < θ < 90°); then the value of sinθ is:
Question 10
The simplified form of the expression sinA.cos A(tan A – cot A) is: (where 0° ≤ A ≤ 90°)
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May 1SSC & Railway
