111.
If $$\sec \theta - \tan \theta = \frac{1}{{\sqrt 3 }}{\text{,}}$$    the value of $$\sec \theta $$ . $$\tan \theta $$  = ?

112.
The value of (cosec a - sin a)(sec a - cos a)(tan a + cot a) is?

113.
The value of θ(0 ≤ θ ≤ 90°) satisfying 2sin2θ = 3cosθ is?

114.
a, b, c are the lengths of three sides of a triangle ABC. If a, b, c are related by the relation a2 + b2 + c2 = ab + bc + ca, then the value of (sin2A + sin2B + sin2C) is?

115.
If $${\text{tan }}\alpha = 2,$$   then the value of $$\frac{{{\text{cose}}{{\text{c}}^2}\alpha - {\text{se}}{{\text{c}}^2}\alpha }}{{{\text{cose}}{{\text{c}}^2}\alpha + se{c^2}\alpha }}$$   is?

116.
If $$\sin \left( {\theta + {{30}^ \circ }} \right) = \frac{3}{{\sqrt {12} }}{\text{,}}$$     then find $${\text{co}}{{\text{s}}^2}\theta ?$$

117.
If $${\text{0}} \leqslant \theta \leqslant {90^ \circ }$$   and $$4{\cos ^2}\theta $$   - $$4\sqrt 3 \cos \theta $$   + 3 = 0 then the value of $$\theta $$ is?

118.
The value of sec4A(1 - sin4A) - 2tan2A is?

119.
If $${\text{co}}{{\text{s}}^4}\theta - {\sin ^4}\theta = \frac{2}{3}{\text{,}}$$     then the value of $${\text{2co}}{{\text{s}}^2}\theta - 1$$   is?

120.
If $$\sin \theta - \cos \theta = \frac{7}{{13}}$$    and $${0^ \circ }{\text{ < }}\theta {\text{ < }}{90^ \circ }{\text{,}}$$   then the value of $$\sin \theta $$  + $${\text{cos}}\theta $$  is?

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