Trigonometry MCQs

The value of 4sin²30° + 3cot²60° is:

If α + β = 90°, then the value of (1 - sin²α)(1 - cos²α) × (1 + cot²β)(1 + tan²β) is?

If A = 10°, what is the value of: $$\frac{{12\sin 3A + 5\cos \left( {5A - {5^ \circ }} \right)}}{{9\sin \frac{{9A}}{2} - 4\cos \left( {5A + {{10}^ \circ }} \right)}}?$$

The value of sin²2° + sin²4° + sin²6° + ........ + sin²90° is?

If $$\sec \theta - \tan \theta = \frac{1}{{\sqrt 3 }}{\text{,}}$$    the value of $$\sec \theta $$ . $$\tan \theta $$  = ?

x, y be two acute angles, x + y < 90° and sin(2x - 20°) = cos(2y + 20°), the value of tan(x + y) is?

The expression (tanθ + cotθ)(secθ + tanθ)(1 - sinθ), 0° < θ < 90° is equal to:

If sinA = $$\frac{4}{5}$$ and sinB = $$\frac{{15}}{{17}},$$ what is the value of sin(A - B)?

If $${\text{A}} \times {\text{tan}}\left( {\theta + {{150}^ \circ }} \right)$$    = $${\text{B}} \times \tan $$ $$\left( {\theta - {{60}^ \circ }} \right){\text{,}}$$   the value of $$\frac{{{\text{A}} - {\text{B}}}}{{{\text{A}} + {\text{B}}}}$$  is?