Question

If x = a sec 0 + b tan and y = a tan + b sece, prove that x^2 - y^2 = a^2 - b^2
If a sin? x + b cos x = sin x cos x and a sinx = b cos x, then find a + b².​

Answer 1

sinx

=−cosx

sinx=cos

2

x=1−sin

2

x

sin

2

x+sinx−1=0

This is quadratic.

sinx=

2

5

−1

(the other value is unacceptable as it is greater than 1.)

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