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If m=cosA-sinA and n=cosA+sinA. Show that m*m-n*n= -4sinA*cosA/cos*cosA-sinA*sinA=-4cotA-tanA

If m=cosA-sinA and n=cosA+sinA. Show that m*m-n*n= -4sinA*cosA/cos*cosA-sinA*sinA=-4cotA-tanA

Grade:10

1 Answers

Arun
25750 Points
6 years ago
Dear student
I will write cos A as c and sin A as s for simplicity.
m/n - n/m
= (m² - n²)/mn
= (c² + s² - 2c*s - c² -s² - 2c*s )/ (c-s)(c+s)
= - 4 c *s / c² - s²
Regards
Arun (askIITians forum expert)

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