If A = 30 and B = 60, verify that

sin(A + B) = sinA cosB + cosA sinB,

If θ is measure of an acute angle and cosθ = sinθ, find the value of 2tan²θ + sin²θ + 1.

If α is measure of acute angle and 3sinα = 2cosα, prove that

If A = 30 and B = 60, verify that

cos(A + B) = cosA cosB – sinA sinB

If sin(A – B) = sinA cosB – cosA sinB and cos(A – B) = cosA cosB + sinA sinB, find the values of sin15 and cos15.