If θ = 45°, then what is the value of 2cosec2θ + 3sec2θ?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 10.
2cosec2θ + 3sec2θ
= 2cosec245° + 3sec245°
= 2(√2)2 + 3(√2)2
= 2(2) + 3(2)
= 4 + 6
= 10
Therefore, the value of the expression is 10.