61.
If $$\theta $$ is a positive acute angle and $${\text{4}}{\sin ^2}\theta $$   = 3, then the value of $${\text{tan}}\theta $$  - $$cot\frac{\theta }{2}$$  is?

62.
If sin31° = $$\frac{x}{y}{\text{,}}$$ then the value of sec31° - sin59° is?

63.
The value of $${\text{cot1}}{{\text{7}}^ \circ }$$ $$\left( {\cot {{73}^ \circ }\,{{\cos }^2}{{22}^ \circ }\, + \frac{1}{{\cot {{17}^ \circ }se{c^2}{{68}^ \circ }}}} \right)$$       is?

64.
θ is the positive acute angle and sinθ - cosθ = 0, then the value of secθ + cosecθ is?

65.
If α + β = 90° and α : β = 2 : 1, then the ratio of cosα to cosβ is?

66.
If θ is positive acute angle and 7cos2θ + 3sin2θ = 4, then value of θ is?

67.
The least value of tan2x + cot2x is?

68.
If cos27° = x, then the value of tan63° is?

69.
If cos2x + cos4x = 1, then tan2x + tan4x = ?

70.
If $${\text{tan}}\theta = \frac{4}{3}{\text{,}}$$   then the value of $$\frac{{3\sin \theta + 2\cos \theta }}{{3\sin \theta - 2\cos \theta }}$$    is?

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