Trigonometry MCQs

The value of sin²30°.cos²45° + 2tan²30° - sec²60° is equal to:

The value of $$\frac{{3\left( {{{\cot }^2}{{47}^ \circ } - {{\sec }^2}{{43}^ \circ }} \right) - 2\left( {{{\tan }^2}{{23}^ \circ } - {\text{cose}}{{\text{c}}^2}{{67}^ \circ }} \right)}}{{{\text{cose}}{{\text{c}}^2}\left( {{{68}^ \circ } + \theta } \right) - \tan \left( {\theta + {{61}^ \circ }} \right) - {{\tan }^2}\left( {{{22}^ \circ } - \theta } \right) + \cot \left( {{{29}^ \circ } - \theta } \right)}}\,{\text{is:}}$$

If cos⁴α - sin⁴α = $$\frac{5}{6}$$ then the value of 2cos²α - 1 = . . . . . . . .

In circular measure, the value of the angle 11° 15' is?

If tanθ + secθ = 7, θ being acute, then the value of 5sinθ is:

The elimination of θ from x cosθ - y sinθ = 2 and x sinθ + y cosθ = 4 will give?

The least value of tan²x + cot²x is?

If θ be acute angle and tan(4θ - 50°) = cot(50° - θ), then the value of θ in degrees is?

The value of $$\left[ {\frac{{{\text{co}}{{\text{s}}^2}{\text{A}}\left( {{\text{sin A}} + {\text{cos A}}} \right)}}{{{\text{cose}}{{\text{c}}^2}{\text{A}}\left( {{\text{sin A}} - {\text{cos A}}} \right)}} + \frac{{{\text{si}}{{\text{n}}^2}{\text{A}}\left( {{\text{sin A}} - {\text{cos A}}} \right)}}{{{\text{se}}{{\text{c}}^2}{\text{A}}\left( {{\text{sin A}} + {\text{cos A}}} \right)}}} \right]$$         $$\left( {{\text{se}}{{\text{c}}^2}{\text{ A}} - {\text{cose}}{{\text{c}}^2}{\text{ A}}} \right) = ?$$