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18. गा ८059 - डा = +/2sinf, prove that cosf + sinf = /2sinf

Answer»

=================================cosA - sinA = √2 sinA

cosA = sinA + √2 sinA

cosA = sinA (√2 + 1)

sinA/cosA = 1/(√2 + 1)

sinA/cosA = 1/(√2 + 1) * (√2 - 1)/(√2 - 1)

sinA/cosA = (√2 - 1)/(2 - 1)

sinA/cosA = √2 - 1

sinA = (√2 - 1)cosA

sinA = √2 cosA - cosA

sinA + cosA = √2 cosA

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