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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