Trigonometry MCQs

The value of $$\frac{{\left( {\cos {9^ \circ } + \sin {{81}^ \circ }} \right)\left( {\sec {9^ \circ } + {\text{cosec}}\,{{81}^ \circ }} \right)}}{{\sin {{56}^ \circ }\sec {{34}^ \circ } + \cos {{25}^ \circ }{\text{cosec}}\,{{65}^ \circ }}}{\text{ is:}}$$

The value of $$\sqrt {{{\sec }^2}\theta + {\text{cose}}{{\text{c}}^2}\theta } \times \sqrt {{{\tan }^2}\theta - {{\sin }^2}\theta } $$       is equal to:

In ΔABC, ∠B = 90° and AB : BC = 2 : 1, then value of (sinA + cotC) = ?

The value of $${\left( {\frac{{1 - \cot \theta }}{{1 - \tan \theta }}} \right)^2} + 1,$$    0° < θ < 90°, is equal to:

Simplify the following expression:
$$\frac{{\cos A}}{{1 - \tan A}} + \frac{{\sin A}}{{1 - \cot A}} - \sin A$$

If sinθ = $$\frac{9}{{41}},$$ 0° < θ < 90° then what is the value of cotθ?