Trigonometry MCQs

If 1 + cot²θ = $$\frac{{625}}{{49}}$$ and θ is acute, then what is the value of $${\left( {\sin \theta + \cos \theta } \right)^{\frac{1}{2}}}?$$

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

If $${\text{co}}{{\text{s}}^4}\theta - {\sin ^4}\theta = \frac{2}{3},$$     then the value of $${\text{1}} - {\text{2}}{\sin ^2}\theta $$   is?

If sin(A + B) = $$\frac{{\sqrt 3 }}{2}$$ and tan(A - B) = $$\frac{1}{{\sqrt 3 }}$$ , then (2A + 3B) is equal to.

If $$\pi \sin \theta = 1,$$   $$\pi \cos \theta = 1{\text{,}}$$   then the value of $$\left\{ {\sqrt 3 \tan \left( {\frac{2}{3}\theta } \right) + 1} \right\}$$     is?

The value of $$\frac{{\left( {\cos {9^ \circ } + \sin {{81}^ \circ }} \right)\left( {\sec {9^ \circ } + {\text{cosec}}\,{\text{8}}{{\text{1}}^ \circ }} \right)}}{{{\text{cose}}{{\text{c}}^2}71 + {{\cos }^2}{{15}^ \circ } - {{\tan }^2}{{19}^ \circ } + {{\cos }^2}{{75}^ \circ }}}{\text{is:}}$$

If tanA = n tanB and sinA = m sinB, then the value of cos²A = ?

The value cosec(67° + θ) - sec(23° - θ) + cos15°cos35°cosec55°cos60°cosec75° is:

If $$\cot \theta = 4{\text{,}}$$   then the value of $$\frac{{5\sin \theta + 3\cos \theta }}{{5\sin \theta - 3\cos \theta }}$$   is?