101. Let $${\text{a}} = \frac{{2\sin x}}{{1 + \sin x + \cos x}}$$ and $${\text{b}} = \frac{{\text{c}}}{{1 + \sin x}}.$$ Then a = b, if c = ?
102. The value of $$\frac{{\sec \theta \left( {1 - \sin \theta } \right)\left( {\sin \theta + \cos \theta } \right)\left( {\sec \theta + \tan \theta } \right)}}{{\sin \theta \left( {1 + \tan \theta } \right) + \cos \theta \left( {1 + \cot \theta } \right)}}$$ is equal to:
103. If A + B = C, then tanAtanBtanC = ?
104. The value of expression cos245° + cos2135° + cos2225° + cos2315° is:
105. What is the value of 3sin230° + $$\frac{3}{5}$$cos260° - 2sec245°?
106. What is the value of $$1 + \frac{{{{\tan }^2}A}}{{1 + \sec A}}?$$
107. Solve the following to find its value in terms of trigonometric ratios.
(sinA + cosA)(1 - sinAcosA)
(sinA + cosA)(1 - sinAcosA)
108. What is the value of $$\sin \left( {180 - \theta } \right)\sin \left( {90 - \theta } \right) + \frac{{\cot \left( {90 - \theta } \right)}}{{1 + {{\tan }^2}\theta }}?$$
109. What is the value of $$\frac{{\left( {\sin 4x + \sin 4y} \right)\left[ {\tan \left( {2x - 2y} \right)} \right]}}{{\sin 4x - \sin 4y}}?$$
110. If cos4α - sin4α = $$\frac{5}{6}$$ then the value of 2cos2α - 1 = . . . . . . . .
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