(sinA+cosA)÷(sinA-cosA)=x÷y, prove that xsquare +ysquare=2
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Posted by Tausiful Haque 8 years, 3 months ago
- 2 answers
Soumya Ghoshal 8 years, 3 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
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Sachin Ray 8 years, 2 months ago
0Thank You