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(sinA+cosA)÷(sinA-cosA)=x÷y, prove that xsquare +ysquare=2

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(sinA+cosA)÷(sinA-cosA)=x÷y, prove that xsquare +ysquare=2

Posted by Tausiful Haque 6 years, 9 months ago

Entrance Exam > JEE main > Mathematics

2 answers

Sachin Ray 6 years, 8 months ago

Sin…1\2√sin

0Thank You

Soumya Ghoshal 6 years, 8 months ago

x²+y²=(sinA+cosA) ² +(sinA-cosA) ²

= 2

OR,

x+y=k sinA, x-y=k cosA

x²+y²=1/2(k²sin²A + k²cos²A)

= 1/2 (k²(sin²A + cos²A))

= 1/2 *k²

= k²/2

1Thank You

ANSWER

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Entrance Exam > JEE main > Mathematics