61. The value of tan10°. tan15°. tan75°. tan80° is?
62. If sin7x = cos11x, then the value of tan9x + cot9x is?
63. The value of $$\left( {{{\sin }^2}7{{\frac{1}{2}}^ \circ } + {{\sin }^2}82{{\frac{1}{2}}^ \circ }} \right)$$ is?
64. The value of sin265° + sin225° + cos235° + cos255° is?
65. ABCD is a rectangle of which AC is a diagonal. The value of (tan2 ∠CAD + 1)sin2 ∠BAC is?
66. If sin 3A = cos(A - 26°), where 3A is an acute angle then the value of A is?
67. If sin(θ + 18°) = cos60° (0° < θ < 90°), then the value of cos 5θ is?
68. If θ be acute angle and tan(4θ - 50°) = cot(50° - θ), then the value of θ in degrees is?
69. The value of the following is : $$\frac{{{{\left( {\tan {{20}^ \circ }} \right)}^2}}}{{{{\left( {{\text{cosec 7}}{0^ \circ }} \right)}^2}}}$$ $$ + $$ $$\frac{{{{\left( {\cot {{20}^ \circ }} \right)}^2}}}{{{{\left( {{\text{sec 7}}{0^ \circ }} \right)}^2}}}$$ $$ + $$ $$2\tan {15^ \circ }$$ . $$\tan {45^ \circ }$$ . $$\tan {75^ \circ }$$
70. The value of the following is : $${\left( {\frac{{{\text{sin 4}}{{\text{7}}^ \circ }}}{{\cos {{43}^ \circ }}}} \right)^2}$$ + $${\left( {\frac{{\cos {{43}^ \circ }}}{{{\text{sin }}{{47}^ \circ }}}} \right)^2}$$ - $$4{\text{co}}{{\text{s}}^2}{45^ \circ }$$ = ?
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