If A,B are acute angles such that sinA=cos B, then S+B= options : A) pi by 2. B) pi by 4. C) pi .D)pi by 3
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2
Answer:
given SinA= CosB
Sin45=Cos45= 1/2
A= 45, B = 45
A+B =90 degree
= π/2
Answered by
12
Step-by-step explanation:
Given that:-
Given that:-A,B are acute angles such that
sinA=cos B
sinA=cos B =>SinA=Sin(90-B)
sinA=cos B =>SinA=Sin(90-B)we know that CosA=Sin(90-A)
sinA=cos B =>SinA=Sin(90-B)we know that CosA=Sin(90-A)=>A=90-B
sinA=cos B =>SinA=Sin(90-B)we know that CosA=Sin(90-A)=>A=90-B=>A+B=90°
sinA=cos B =>SinA=Sin(90-B)we know that CosA=Sin(90-A)=>A=90-B=>A+B=90°=>A+B=180°/2
sinA=cos B =>SinA=Sin(90-B)we know that CosA=Sin(90-A)=>A=90-B=>A+B=90°=>A+B=180°/2=>A+B=π/2
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