Question 91. 2cosec223° cot267° - sin223° - sin267° - cot267° is equal to?

Question 92. $$\frac{{{\text{tan}}\theta }}{{1 - {\text{cot}}\theta }}{\text{ + }}\frac{{{\text{cot}}\theta }}{{1 - {\text{tan}}\theta }}$$     is equal to?

Question 93. The value of (1 + cotθ - cosecθ)(1 + tanθ + secθ) is equal to?

Question 94. The numerical value of $$\frac{1}{{1 + {{\cot }^2}\theta }}$$   + $$\frac{3}{{1 + {\text{ta}}{{\text{n}}^2}\theta }}$$   + $$2{\sin ^2}\theta $$   will be?

Question 95. If $$x = a{\text{ }}\sec \theta .\cos \phi ,$$     $$y = b{\text{ }}\sec \theta .sin\phi ,$$     $$z = c{\text{ tan}}\theta {\text{.}}$$   then the value of $$\frac{{{x^2}}}{{{a^2}}}$$  + $$\frac{{{y^2}}}{{{b^2}}}$$  - $$\frac{{{z^2}}}{{{c^2}}}$$  is?

Question 96. The elimination of θ from x cosθ - y sinθ = 2 and x sinθ + y cosθ = 4 will give?

Question 97. The value of $$\left[ {\frac{{{\text{co}}{{\text{s}}^2}{\text{A}}\left( {{\text{sin A}} + {\text{cos A}}} \right)}}{{{\text{cose}}{{\text{c}}^2}{\text{A}}\left( {{\text{sin A}} - {\text{cos A}}} \right)}} + \frac{{{\text{si}}{{\text{n}}^2}{\text{A}}\left( {{\text{sin A}} - {\text{cos A}}} \right)}}{{{\text{se}}{{\text{c}}^2}{\text{A}}\left( {{\text{sin A}} + {\text{cos A}}} \right)}}} \right]$$         $$\left( {{\text{se}}{{\text{c}}^2}{\text{ A}} - {\text{cose}}{{\text{c}}^2}{\text{ A}}} \right) = ?$$

Question 98. If $${\text{co}}{{\text{s}}^4}\theta - {\sin ^4}\theta = \frac{2}{3},$$     then the value of $${\text{1}} - {\text{2}}{\sin ^2}\theta $$   is?

Question 99. If $$r\sin \theta = 1,$$   $$r\cos \theta = \sqrt 3 ,$$   then the value of $$\left( {\sqrt 3 {\text{tan}}\theta + 1} \right)$$   = ?

Question 100. The value of $$\frac{{{\text{sin A}}}}{{1 + \cos {\text{ A}}}}$$   + $$\frac{{{\text{sin A}}}}{{1 - \cos {\text{ A}}}}$$   is $$\left( {{0^ \circ } < {\text{A}} < {{90}^ \circ }} \right)$$