Question

prove this question​

Answer 1

Answer:

HOPE IT HELPS YOU !!!!!!!

Step-by-step explanation:

Now,

3sinθ + 5cosθ=5

=> (3sinθ+5cosθ)²=(5)²

=> 9sin²θ+25cos²θ+30sinθcosθ=25

=>9 (1 - cos²θ) + 30 sinθ cosθ + 25 (1 - sin²θ) = 25

=>9 - 9 cos²θ + 30 sinθ cosθ + 25 - 25 sin²θ = 25

=>25 sin²θ - 30 sinθ cosθ + 9 cos²θ = 9

=>(5 sinθ - 3 cosθ)² = 3²

=>5 sinθ - 3 cosθ = ±3       [ proved]

THANK YOU

MARK AS BRAINLIEST