If`A=45^o`then find `sin^2 A +cos^2 A`.

Find the period of the function sin^(2)x + 2cos^(2)x .

Find the value of 3 sin^2 45^@ + 2 cos^2 60^@ .

Evaluate the following: sin 30^@ + cos^2 30^@ - cot^2 45^@ .

Evaluate the following: tan^2 60^@ + 4 cos^2 45^@ + 3 sec^2 30^@ .

Find the period of (i) sin^(2) x+ 2cos^(2) x (ii) | sin x|

Evaluate the following: tan^2 60^@ + cot^2 45^@ - sin 30^@

Using the figure given of triangle ABC prove that sin^2 O/ + cos^2 O/ = 1

Show that sin A= (sin 3A) /(1+2 cos 2A) . Hence find the value of sin 15^(@).

Consider the system of equations x cos ^(3) y + 3 x cosy sin^(2) y = 14 t o (1) and x sin^(3) y + 3 x cos^(2) y sin y = 13 to (2) The value of sin^(2) y + 2 cos^(2) y is

If sin theta=-4/5,180^(@)ltthetalt270^(@) then find "sin"theta/2, "cos"theta/2