1.
The minimum value of 2sin2θ + 3cos2θ is ?

2.
Maximum value of (2sinθ + 3cosθ) is?

3.
The equation $${\cos ^2}\theta $$  = $$\frac{{{{\left( {x + y} \right)}^2}}}{{4xy}}$$   is only possible when ?

4.
The greatest value of sin4θ + cos4θ is?

5.
Which one of the following is true for 0° < θ < 90° ?

6.
If $$\cos \pi x = {x^2} - x + \frac{5}{4}{\text{,}}$$     then the value of x will be ?

7.
If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$     the value of x is?

8.
The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are ?

9.
If θ be an acute angle and 7sin2θ + 3cos2θ = 4, then the value of tanθ is?

10.
If tan θ = 1, then the value of $$\frac{{8\sin \theta + 5\cos \theta }}{{{{\sin }^3}\theta - 2{{\cos }^3}\theta + 7\cos \theta }}$$     is?

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