Trigonometry MCQs

If tan⁴θ + tan²θ = 1, then the value of cos⁴θ + cos²θ is?

If $${\text{0}} < {\text{A}} < {90^ \circ }{\text{,}}$$   then the value of $$\frac{1}{2}\cot {\text{A}}$$ $$\left[ {\frac{{1 + \left( {\operatorname{sec A} - {\text{tan A}}} \right)}}{{\operatorname{cosecA} \left( {\sec {\text{A}} - {\text{tan A}}} \right)}}} \right]$$     = ?

The value of $$\frac{{2{{\cos }^3}\theta - \cos \theta }}{{\sin \theta - 2{{\sin }^3}\theta }}:$$

sin²θ - 3sinθ + 2 = 0, will be true if ?

The value of the expression (cos⁶θ + sin⁶θ - 1)(tan²θ + cot²θ + 2) is:

The equation $${\cos ^2}\theta $$  = $$\frac{{{{\left( {x + y} \right)}^2}}}{{4xy}}$$   is only possible when ?

If $$\sin \theta = \frac{{{p^2} - 1}}{{{p^2} + 1}},$$   then cosθ is equal to:

If tan θ = 1, then the value of $$\frac{{8\sin \theta + 5\cos \theta }}{{{{\sin }^3}\theta - 2{{\cos }^3}\theta + 7\cos \theta }}$$     is?

What is the value of $$\frac{{32{{\cos }^6}x - 48{{\cos }^4}x + 18{{\cos }^2}x - 1}}{{4\sin x\,\cos x\,\sin \left( {60 - x} \right)\cos \left( {60 - x} \right)\sin \left( {60 + x} \right)\cos \left( {60 + x} \right)}}?$$