31. If $$\sqrt 3 $$ tanθ = 3sinθ, then the value of (sin2θ - cos2θ) is?
32. If sinθ = $$\frac{a}{b}$$ then the value of secθ - cosθ is? (where 0° < θ < 90°)
33. If $$sec\theta = x + \frac{1}{{4x}}$$ $$\left( {{0^ \circ } < \theta < {{90}^ \circ }} \right)$$ then $$sec\theta $$ + $${\text{tan}}\theta $$ is equal to?
34. If secθ + tanθ = 2 + $$\sqrt 5 {\text{,}}$$ then the value of sinθ + cosθ is?
35. If secα + tanα = 2, then the value of sinα is (assume that 0 < α < 90°)
36. If A is an acute angle and cotA + cosecA = 3, then the value of sinA is?
37. If θ is positive acute angle and 3(sec2θ + tan2θ) = 5, then the value of cos2θ is?
38. If the sum and difference of two angles are 135° and $$\frac{\pi }{{12}}$$ respectively, then the value of the angles in degree measure are?
39. If cosx + cos2x = 1,the numerical value of (sin12 + 3sin10x + 3sin8x + sin6x - 1) = ?
40. If cosθ + sinθ = $$\sqrt 2 $$ cosθ, then cosθ - sinθ is?
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