Trigonometry MCQs

What will be the value of sin10° - $$\frac{4}{3}$$sin³10°?

What is the value of $$1 + \frac{{{{\tan }^2}A}}{{1 + \sec A}}?$$

The value of the expression: sin²1° + sin²11° + sin²21° + sin²31° + sin²41° + sin²45° + sin²49° + sin²59° + sin²69° + sin²79° + sin²89° is?

What is the value of $$\cos \left( { - \frac{{17\pi }}{3}} \right)?$$

The value of $$\frac{{\sin \left( {{{78}^ \circ } + \theta } \right) - \cos \left( {{{12}^ \circ } - \theta } \right) + \left( {{{\tan }^2}{{70}^ \circ } - {\text{cose}}{{\text{c}}^2}{{20}^ \circ }} \right)}}{{\sin {{25}^ \circ }\cos {{65}^ \circ } + \cos {{25}^ \circ }\sin {{65}^ \circ }}}{\text{ is:}}$$

The expression $$\frac{{\left( {1 - 2{{\sin }^2}\theta {{\cos }^2}\theta } \right)\left( {\cot \theta + 1} \right)\cos \theta }}{{\left( {{{\sin }^4}\theta + {{\cos }^4}\theta } \right)\left( {1 + \tan \theta } \right){\text{cosec}}\,\theta }} - 1,$$       0° < θ < 90°, equals:

What is the value of tan240°

If sin31° = $$\frac{x}{y}{\text{,}}$$ then the value of sec31° - sin59° is?

If $$x\sin {45^ \circ }$$  = $$y\operatorname{cosec} {30^ \circ },$$   then $$\frac{{{x^4}}}{{{y^4}}}$$  is equal to?