Trigonometry MCQs

If $$x{\sin ^2}{60^ \circ }$$  - $$\frac{3}{2}{\text{sec}}{60^ \circ }$$ . $${\text{ta}}{{\text{n}}^2}{30^ \circ }$$  + $$\frac{4}{5}{\sin ^2}{45^ \circ }$$ . $${\text{ta}}{{\text{n}}^2}{60^ \circ }$$  = 0, then x is?

(sec∅ - tan∅)²(1 + sin∅)² ÷ cos²∅ = ?

If A is an acute angle and cotA + cosecA = 3, then the value of sinA is?

The value of the following is : $$\frac{{{{\left( {\tan {{20}^ \circ }} \right)}^2}}}{{{{\left( {{\text{cosec 7}}{0^ \circ }} \right)}^2}}}$$   $$ + $$ $$\frac{{{{\left( {\cot {{20}^ \circ }} \right)}^2}}}{{{{\left( {{\text{sec 7}}{0^ \circ }} \right)}^2}}}$$   $$ + $$ $$2\tan {15^ \circ }$$ . $$\tan {45^ \circ }$$ . $$\tan {75^ \circ }$$

The value of sin²38° + sin²52° + sin²30° - tan²45° is equal to:

The value of tan 4°.tan 43°.tan 47°.tan 86° is?

What is the value of $$\frac{{{{\left[ {\tan \left( {{{90}^ \circ } - A} \right) + \cot \left( {{{90}^ \circ } - A} \right)} \right]}^2}}}{{\left[ {2{{\sec }^2}\left( {{{90}^ \circ } - 2A} \right)} \right]}}?$$

The angles of a triangle are (x + 5)°, (2x - 3)° and (3x + 4)°. Then the value of x is?

If θ be an acute angle and 7sin²θ + 3cos²θ = 4, then the value of tanθ is?