Trigonometry MCQs

Find the value of sin²25° + sin²65° + coses²57° - tan²33° = ?

If sin(θ + 18°) = cos60° (0° < θ < 90°), then the value of cos 5θ is?

If $$2\frac{{{{\cos }^2}x - {{\sec }^2}x}}{{{{\tan }^2}x}} = a + b\cos 2x,$$      then a, b = ?

If 12cot²θ - 31cosecθ + 32 = 0, 0° < θ < 90° then the value of tanθ will be:

The numerical value of $$\frac{{{\text{co}}{{\text{s}}^2}{{45}^ \circ }}}{{{{\sin }^2}{{60}^ \circ }}}$$  + $$\frac{{{\text{co}}{{\text{s}}^2}{{60}^ \circ }}}{{{{\sin }^2}{{45}^ \circ }}}$$  - $$\frac{{{\text{ta}}{{\text{n}}^2}{{30}^ \circ }}}{{{\text{co}}{{\text{t}}^2}{{45}^ \circ }}}$$  - $$\frac{{{{\sin }^2}{{30}^ \circ }}}{{{\text{co}}{{\text{t}}^2}{{30}^ \circ }}}$$  is?

What is the value of $$\frac{{2\left( {1 - {{\sin }^2}\theta } \right){\text{cose}}{{\text{c}}^2}\theta }}{{{{\cot }^2}\theta \left( {1 + {{\tan }^2}\theta } \right)}} - 1$$

If secA = $$\frac{{17}}{8},$$ given that A < 90°, what is the value of the following?
$$\frac{{34\sin A + 15\cot A}}{{68\cos A - 16\tan A}}$$

sinθ = 0.7 then cosθ, 0 ≤ θ < 90° is?

If 7sin²θ + 4cos²θ = 5 and θ lies in the first quadrant, then what is the value of $$\frac{{\sqrt 3 \sec \theta + \tan \theta }}{{\sqrt 2 \cot \theta - \sqrt 3 \cos \theta }}?$$