Trigonometry Quiz 5

If sec$\theta$ + tan$\theta$ = 3, then cos$\theta$ = ………

If x > y and $\frac{2xy}{x^2+y^2}$ = cos$\theta$, then sin$\theta$ = …………

In $\triangle ABC$, if BC = 3, CA = 4, AB = 5, then cos $\angle BAC$ =

$sin^6 A + cos^6 A + 3sin^2 A \, cos^2 A =$

If sin$\theta$ . cos$\theta$  = $\frac{1}{2}$ , then $\theta$  = …………

If tan $\theta$ = $\frac{3}{4}$ , then the value of $\frac{1-cos \theta}{1+cos\theta} =$

If A, B and C are interior angles of a triangle ABC, then tan ($\frac{A+B}{2}$ ) =

If cos A = $\frac{12}{13}$ , then sin A =

$\frac{sin30^\circ + tan45^\circ - cosec60^\circ} {cot45^\circ + cos60^\circ - sec30^\circ} =$

$sin^2$ $30^\circ$, $sin^2$ $45^\circ$ and $sin^2$ $60^\circ$ are in