If sinθ = 1/2 with θ acute, what is the value of sin 3θ − 3 sinθ?
A−1/2
B1/2
C−1
D1
Answer & Solution
Correct answer: A. −1/2
Since sin3θ = 3sinθ − 4sin³θ, the difference is −4sin³θ = −4 × 1/8 = −1/2.
Keep practising Trigonometry - II
Browse all Trigonometry - II questions for MHT-CET, or explore more Mathematics topics.
Related questions
Which of these is the correct value of sin(3π/2 − θ)?In the second quadrant, sin(π − θ) is equal toUsing a period of 180°, tan 840° reduces toRemoving two full turns, cos 930° reduces toReducing 495° to a first-turn angle, sin 495° equalsFor the angles of any triangle, the sum sin2A + sin2B + sin2C isThe triangle identity for squares of sines gives sin²A + sin²B + sin²C =For the angles of a triangle, tan(A + B) reduces to