The memoir ‘Becoming’ is based on whose life

Find the simplified value of the following expression if a = 30^o

[(sin²a + cos²a} ÷ seca × sina ÷ cosa]

If cos²α + cos²β = 2, then the value of tan⁴α + sin⁸β is

Given that tan(A+B) = √3 and tan(A-B) =1/√3, find the values of A and B.

If (sinx + siny) = a and (cosx + cosy) = b, then find the value of (sinx siny + cosx cosy).

[A] (a²+b²-2)/ 2

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

If tan² 45°- cos² 60° x sin 45° cos 45° cot 30°, then find the value of 'x'.