if 8cosx+15sinx=15 and cosx≠0 then 8sinx-15cosx=
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(8cosx+15sinx)² + (8sinx−15cosx)² = 64(cos²x+sin²x) + 225(cos²+sin²x) = 289
∴ (8sinx−15cosx)² = 289−15² = 64 ⟹ 8sinx−15cosx = ±8
∴ (8sinx−15cosx)² = 289−15² = 64 ⟹ 8sinx−15cosx = ±8
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