Trigonometry MCQs

What is the value of $$\frac{{\left[ {\sin \left( {90 - A} \right) + \cos \left( {180 - 2A} \right)} \right]}}{{\left[ {\cos \left( {90 - 2A} \right) + \sin \left( {180 - A} \right)} \right]}}?$$

If $$sec\theta = x + \frac{1}{{4x}}$$   $$\left( {{0^ \circ } < \theta < {{90}^ \circ }} \right)$$   then $$sec\theta $$  + $${\text{tan}}\theta $$   is equal to?

Which of the following is equal to secA - cosA?

The value of $$\frac{{2\left( {{{\sin }^6}\theta + {{\cos }^6}\theta } \right) - 3\left( {{{\sin }^4}\theta + {{\cos }^4}\theta } \right)}}{{{{\cos }^4}\theta - {{\sin }^4}\theta - 2{{\cos }^2}\theta }}{\text{ is:}}$$

The value of sin²65° + sin²25° + cos²35° + cos²55° is?

The minimum value of 2sin²θ + 3cos²θ is ?

If $$\frac{{{{\sin }^2}\theta }}{{{{\cos }^2}\theta - 3\cos \theta + 2}} = 1,\,\theta $$     lies in the first quadrant, then the value of $$\frac{{{{\tan }^2}\frac{\theta }{2} + {{\sin }^2}\frac{\theta }{2}}}{{\tan \theta + \sin \theta }}$$    is:

If tan²θ = 1 - e², then the value of secθ + tan³θ.cosecθ is?

If $${\text{tan}}\theta = \frac{4}{3}{\text{,}}$$   then the value of $$\frac{{3\sin \theta + 2\cos \theta }}{{3\sin \theta - 2\cos \theta }}$$    is?