Trigonometry MCQs

$$\frac{{2\sin \theta }}{{\cos \theta \left( {1 + {\text{ta}}{{\text{n}}^2}\theta } \right)}}$$     simplifies to?

If θ be a positive acute angle satisfying cos²θ + cos⁴θ = 1, then the value of tan²θ + tan⁴θ is?

The value of $$\frac{{\sec \theta \left( {1 - \sin \theta } \right)\left( {\sin \theta + \cos \theta } \right)\left( {\sec \theta + \tan \theta } \right)}}{{\sin \theta \left( {1 + \tan \theta } \right) + \cos \theta \left( {1 + \cot \theta } \right)}}$$        is equal to:

If $$\theta $$ be acute angle and $$\cos \theta = \frac{{15}}{{17}}{\text{,}}$$   then the value of $${\text{cot}}\left( {{{90}^ \circ } - \theta } \right)$$   is?

The value of $${\text{se}}{{\text{c}}^2}{17^ \circ }$$  - $$\frac{1}{{{\text{ta}}{{\text{n}}^2}{{73}^ \circ }}}$$  - $$\sin {17^ \circ }$$ $$\sec {73^ \circ }$$  is?

If xsin60°.tan30° = sec60°.cot45° , then the value of x is?

If cos²x + cos⁴x = 1, then tan²x + tan⁴x = ?

$$\frac{{{\text{tan}}\theta }}{{1 - {\text{cot}}\theta }}{\text{ + }}\frac{{{\text{cot}}\theta }}{{1 - {\text{tan}}\theta }}$$     is equal to?

If 4sin²θ = 3(1 + cosθ), 0° < θ < 90°, then what is the value of (2tanθ + 4sinθ - secθ)?