If cosecθ = 13/12 , then evaluate 2sinθ-3cosθ/4sinθ-9cosθ - Maths - Some Applications of Trigonometry

Question

If cosecθ = 13/12 , then evaluate
2sinθ-3cosθ/4sinθ-9cosθ

Varun.Rawat · Accepted Answer

We have,cosec θ = 1312so, sin θ = 1213now, cos θ = 1
- sin2θ = 1 - 144169 = 513now, 2 sin θ - 3 cos θ4
sin θ - 9 cos θ=21213 - 3 51341213 - 9513=24 - 1548 - 45
= 93 = 3

If cosecθ = 13/12 , then evaluate 2sinθ-3cosθ/4sinθ-9cosθ.