$$ {3tan^{2}30°}-{4\over 3}{sin^{2}60°}- {1\over2}{cosec^{2}45°}+{4\over3}{sin^{2}90°=?}$$

The value of $$ cos {20^o} cos {40^o}cos {60^o}cos {80^o}$$ is:

If is a positive acute angle and 5 cosθ + 12 sinθ = 13, then find the value of cosθ?

If $$ {1+sinθ\over {1-sinθ}}={p^{2}\over{q^{2}}}$$, then sec θ is equal to:

If 4sin² θ – 1 = 0 and angle θ is less than 90⁰. The value of cos² θ + tan² θ is:
(Take 0⁰ < θ < 90⁰) 

If a=tanθ + 1 and b=sinθ+cosθ then find (b²-1)a=?

One angle of a triangle is 55°. If the other two angles are in the ratio 9:16, find the angles?

If $$ {tan3A=cot{(2A+40)}}$$ then find the value of $$ {tan^2{3A}}+{cot^{4}3A}$$.