Q.1
If $$\frac{{{\text{cos }}\alpha }}{{{\text{cos }}\beta }} = a$$   and $$\frac{{{\text{sin }}\alpha }}{{{\text{sin }}\beta }} = b{\text{,}}$$   then the value of $${\sin ^2}\beta $$  in terms of a and b is?
Q.2
The elimination of θ from x cosθ - y sinθ = 2 and x sinθ + y cosθ = 4 will give?
Q.3
The value of $$\left[ {\frac{{{\text{co}}{{\text{s}}^2}{\text{A}}\left( {{\text{sin A}} + {\text{cos A}}} \right)}}{{{\text{cose}}{{\text{c}}^2}{\text{A}}\left( {{\text{sin A}} - {\text{cos A}}} \right)}} + \frac{{{\text{si}}{{\text{n}}^2}{\text{A}}\left( {{\text{sin A}} - {\text{cos A}}} \right)}}{{{\text{se}}{{\text{c}}^2}{\text{A}}\left( {{\text{sin A}} + {\text{cos A}}} \right)}}} \right]$$         $$\left( {{\text{se}}{{\text{c}}^2}{\text{ A}} - {\text{cose}}{{\text{c}}^2}{\text{ A}}} \right) = ?$$
Q.4
2cosec223° cot267° - sin223° - sin267° - cot267° is equal to?
Q.5
$$\frac{{{\text{tan}}\theta }}{{1 - {\text{cot}}\theta }}{\text{ + }}\frac{{{\text{cot}}\theta }}{{1 - {\text{tan}}\theta }}$$     is equal to?
Q.6
The value of $$\frac{{\cot {{30}^ \circ } - \cot {{75}^ \circ }}}{{\tan {{15}^ \circ } - \tan {{60}^ \circ }}}$$    is?
Q.7
If $${\text{se}}{{\text{c}}^2}\theta + {\text{ta}}{{\text{n}}^2}\theta = \frac{7}{{12}}{\text{,}}$$     then $${\text{se}}{{\text{c}}^4}\theta $$  - $${\text{ta}}{{\text{n}}^4}\theta $$   = ?
Q.8
sinθ = 0.7 then cosθ, 0 ≤ θ < 90° is?
Q.9
If $${\text{2}}\sin \theta + {\text{cos}}\theta = \frac{7}{3}{\text{,}}$$    then the value of $$\left( {{\text{ta}}{{\text{n}}^2}\theta - {{\sec }^2}\theta } \right)$$   is?
Q.10
The value of $${\sec ^2}\theta $$  - $$\frac{{{{\sin }^2}\theta - 2{{\sin }^4}\theta }}{{{\text{2co}}{{\text{s}}^4}\theta - {\text{co}}{{\text{s}}^2}\theta }}$$   is?
Q.11
If θ be a positive acute angle satisfying cos2θ + cos4θ = 1, then the value of tan2θ + tan4θ is?
Q.12
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?
Q.13
The value of $$\frac{{{\text{sin A}}}}{{1 + \cos {\text{ A}}}}$$   + $$\frac{{{\text{sin A}}}}{{1 - \cos {\text{ A}}}}$$   is $$\left( {{0^ \circ } < {\text{A}} < {{90}^ \circ }} \right)$$
Q.14
If $$\cos \pi x = {x^2} - x + \frac{5}{4}{\text{,}}$$     then the value of x will be ?
Q.15
The numerical value of $$\frac{5}{{{\text{se}}{{\text{c}}^2}\theta }}$$  + $$\frac{2}{{1 + {\text{co}}{{\text{t}}^2}\theta }}$$  + $${\text{3}}{\sin ^2}\theta $$   is?
Q.16
The numerical value of $$\left( {\frac{1}{{\cos \theta }} + \frac{1}{{\cot \theta }}} \right)$$   $$\left( {\frac{1}{{\cos \theta }} - \frac{1}{{\cot \theta }}} \right)$$   is?
Q.17
If $${\text{tan}}\theta = \frac{4}{3}{\text{,}}$$   then the value of $$\frac{{3\sin \theta + 2{\text{cos}}\theta }}{{3\sin \theta - 2{\text{cos}}\theta }}$$   is?
Q.18
The simplified value of (secA - cosA)2 + (cosecA - sinA)2 - (cotA - tanA)2
Q.19
If $$r\sin \theta = 1,$$   $$r\cos \theta = \sqrt 3 ,$$   then the value of $$\left( {\sqrt 3 {\text{tan}}\theta + 1} \right)$$   = ?
Q.20
If $$\sin \frac{{\pi x}}{2} = {x^2} - 2x + 2,$$     the value of x is?
Q.21
The measure of the angles of a triangle are in the ratio 2 : 7 : 11. Measures of angles are ?
Q.22
If θ be an acute angle and 7sin2θ + 3cos2θ = 4, then the value of tanθ is?
Q.23
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?
Q.24
The value of cos1° cos2° cos3° ............. cos177° cos178° cos179° is?
Q.25
The angles of a triangle are (x + 5)°, (2x - 3)° and (3x + 4)°. Then the value of x is?
Q.26
If tan θ = 1, then the value of $$\frac{{8\sin \theta + 5\cos \theta }}{{{{\sin }^3}\theta - 2{{\cos }^3}\theta + 7\cos \theta }}$$     is?
Q.27
The minimum value of 2sin2θ + 3cos2θ is ?
Q.28
Maximum value of (2sinθ + 3cosθ) is?
Q.29
The equation $${\cos ^2}\theta $$  = $$\frac{{{{\left( {x + y} \right)}^2}}}{{4xy}}$$   is only possible when ?
Q.30
The greatest value of sin4θ + cos4θ is?
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