Question

if A COSA - B sine = C, Prove that
A sino + B cos ☺
+ a²+6²-C²​

Answer 1

Answer:squaring both sides,  

... a² cos² x + b² sin² x - 2ab sin x cos x = c²  

∴ a² ( 1 - sin² x ) + b² ( 1 - cos² x ) - 2ab sin x cos x = c²  

∴ a² - a² sin² x + b² - b² cos² x - 2ab sin x cos x = c²  

∴ a² + b² - c² = a² sin² x + b² cos² x + 2ab sin x cos x  

∴ a² + b² - c² = ( a sin x + b cos x )²  

∴ a sin x + b cos x = ± √( a² + b² - c²

Please mark it as brainiest answer

Step-by-step explanation: