Mathematics MCQs

Trigonometry - Compound Angles Questions with solutions MCQs

1. If cosθ = 17/23 and θ lies in the first quadrant, find cos(30+θ)+cos(45-θ)+cos(120-θ).

A

(23√3-1)/(17×2)

B

(23√3+1)/(17×2)

C

(23√3-1)/(17×2√2)

D

(23√3+1)/(17×2√2)

Trigonometry - Compound Angles Panchayat Secretary 2025
Correct Answer : A
Explanation :

Using trigonometric identities and cosθ=17/23, the expression simplifies to (23√3-1)/(17×2).

Correct Answered :

Wrong Answered :

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