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Grade: 11

                        

2 sin A / ( 1+ sin A+cos A) = k , then prove that , (1+sinA+cosA)/(1+sinA) = k

5 years ago

Answers : (1)

Lab Bhattacharjee
121 Points
							
HINT:$$(1+\sin A+\cos A)^2=(1+\sin A)^2+\cos^2A=\cdots=2(1+\sin A)$$HINT:$$(1+\sin A+\cos A)^2=(1+\sin A)^2+\cos^2A=\cdots=2(1+\sin A)$$ $$\\ \text{ and } \\(1+\sin A+\cos A)(1+\sin A-\cos A)=(1+\sin A)^2-\cos^2A=2\sin A(1+\sin A)$$
5 years ago
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