If θ is an acute angle and sinθ + cosecθ = 2, then the value of sin99θ + cosec99θ is :
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 2.
Let θ = 90° then, sinθ + cosecθ = 2
sin99θ + cosec99θ
= (sin 90°)99 + (cosec 90°)99
= (1)99 + (1)99
= 1 + 1
= 2