Q.1
The value of cos220° + cos270° is?
Q.2
If $${\text{0}} < {\text{A}} < {90^ \circ }{\text{,}}$$   then the value of $$\frac{1}{2}\cot {\text{A}}$$ $$\left[ {\frac{{1 + \left( {\operatorname{sec A} - {\text{tan A}}} \right)}}{{\operatorname{cosecA} \left( {\sec {\text{A}} - {\text{tan A}}} \right)}}} \right]$$     = ?
Q.3
The value of following is : $$\frac{{\sin \theta .\operatorname{cosec} \theta .\tan \theta .\cot \theta }}{{{{\sin }^2}\theta + {\text{co}}{{\text{s}}^2}\theta }}$$     ?
Q.4
If θ is a positive acute angle and 4cos2θ - 1 = 0, then the value of tan(θ - 15°) is equal to?
Q.5
The value of $$\frac{{\sin {{25}^ \circ }.\cos {{65}^ \circ } + \cos {{25}^ \circ }.\sin {{65}^ \circ }}}{{{{\tan }^2}{{70}^ \circ } - {\text{cose}}{{\text{c}}^2}{{20}^ \circ }}}$$       is?
Q.6
If cosθ + secθ = $$\sqrt 3 ,$$  then the value of (cos3θ + sec3θ) is?
Q.7
The value of sin22° + sin24° + sin26° + ........ + sin290° is?
Q.8
If $$\theta + \phi = \frac{\pi }{2}$$   and $$\sin \theta = \frac{1}{2},$$   then the value of $${\text{sin}}\phi $$  is?
Q.9
Find the value of the following 3(sin4θ + cos4θ) + 2(sin6θ + cos6θ) + 12sin2θ.cos2θ = ?
Q.10
The numerical value of $$\frac{{{\text{co}}{{\text{s}}^2}{{45}^ \circ }}}{{{{\sin }^2}{{60}^ \circ }}}$$  + $$\frac{{{\text{co}}{{\text{s}}^2}{{60}^ \circ }}}{{{{\sin }^2}{{45}^ \circ }}}$$  - $$\frac{{{\text{ta}}{{\text{n}}^2}{{30}^ \circ }}}{{{\text{co}}{{\text{t}}^2}{{45}^ \circ }}}$$  - $$\frac{{{{\sin }^2}{{30}^ \circ }}}{{{\text{co}}{{\text{t}}^2}{{30}^ \circ }}}$$  is?
Q.11
If $${\text{A}} \times {\text{tan}}\left( {\theta + {{150}^ \circ }} \right)$$    = $${\text{B}} \times \tan $$ $$\left( {\theta - {{60}^ \circ }} \right){\text{,}}$$   the value of $$\frac{{{\text{A}} - {\text{B}}}}{{{\text{A}} + {\text{B}}}}$$  is?
Q.12
If tanθ - cotθ = 0 find the value of sinθ + cosθ ?
Q.13
If xsin60°.tan30° = sec60°.cot45° , then the value of x is?
Q.14
If $$x\cos \theta - y\sin \theta $$    = $$\sqrt {{x^2} + {y^2}} $$   and $$\frac{{{{\cos }^2}\theta }}{{{a^2}}}$$  + $$\frac{{{{\sin }^2}\theta }}{{{b^2}}}$$  = $$\frac{1}{{{x^2} + {y^2}}}{\text{,}}$$   then the correct relation is?
Q.15
If cos2θ - sin2θ = $$\frac{1}{3}{\text{,}}$$ where 0 ≤ θ ≤ $$\frac{\pi }{2}{\text{,}}$$ then the value of cos4θ - sin4θ is?
Q.16
The numerical value of 1 + $$\frac{1}{{{\text{co}}{{\text{t}}^2}{{63}^ \circ }}}$$  - $${\text{se}}{{\text{c}}^2}{27^ \circ }$$  + $$\frac{1}{{{{\sin }^2}{{63}^ \circ }}}$$  - $${\text{cose}}{{\text{c}}^2}{27^ \circ }$$   is?
Q.17
The value of $$\frac{1}{{\sqrt 2 }}{\text{sin}}\frac{\pi }{6}$$ . $${\text{cos}}\frac{\pi }{4}$$ - $$\cot \frac{\pi }{3}$$ . $${\text{sec}}\frac{\pi }{6}$$ + $$\frac{{5\tan \frac{\pi }{4}}}{{12\sin \frac{\pi }{2}}}$$   is equal to?
Q.18
If $$\frac{{2{{\tan }^2}{{30}^ \circ }}}{{1 - {{\tan }^2}{{30}^ \circ }}}$$   + $${\sec ^2}{45^ \circ }$$  - $${\sec ^2}{0^ \circ }$$  = $$x\sec {60^ \circ }{\text{,}}$$   then the value of x is?
Q.19
If xsin60°.tan30° - tan245° = cosec60°.cot30° - sec245° then x = ?
Q.20
If sinθ + cosθ = $$\sqrt 2 $$ sin(90° - θ) then the value of cotθ is?
Q.21
If $$\frac{{\sin \theta + \cos \theta }}{{\sin \theta - \cos \theta }} = 3{\text{,}}$$    then the value of $${\sin ^4}\theta $$   is?
Q.22
0 < θ < 90°, tanθ + sinθ =m and tanθ - sinθ = n, where m ≠ n, then the value of m2 - n2 is?
Q.23
If $$x{\sin ^2}{60^ \circ }$$  - $$\frac{3}{2}{\text{sec}}{60^ \circ }$$ . $${\text{ta}}{{\text{n}}^2}{30^ \circ }$$  + $$\frac{4}{5}{\sin ^2}{45^ \circ }$$ . $${\text{ta}}{{\text{n}}^2}{60^ \circ }$$  = 0, then x is?
Q.24
If 0° < A < 90°, then the value of tan2A + cot2A - sec2A cosec2A is?
Q.25
The value of $$\frac{{{\text{co}}{{\text{s}}^2}{{60}^ \circ } + 4{\text{se}}{{\text{c}}^2}{{30}^ \circ } - {\text{ta}}{{\text{n}}^2}{{45}^ \circ }}}{{{{\sin }^2}{{30}^ \circ } + {\text{co}}{{\text{s}}^2}{{30}^ \circ }}}$$      is?
Q.26
The value of 152(sin30° + 2cos245° + 3sin30° + 4cos245° + ...... + 17sin30° + 18cos245°) is?
Q.27
If α and β are positive acute angles, sin(4α - β) = 1 and cos(2α + β) = $$\frac{1}{2}{\text{,}}$$ then the value of sin(α + 2β) is?
Q.28
In sin(A - B) = $$\frac{1}{2}$$ and cos(A + B) =$$\frac{1}{2}$$ where A > B > 0 and A + B is an acute angle, then the value of B is?
Q.29
If $$x\sin {45^ \circ }$$  = $$y\operatorname{cosec} {30^ \circ },$$   then $$\frac{{{x^4}}}{{{y^4}}}$$  is equal to?
Q.30
If tan2α = 1 + 2tan2β (α, β are positive acute angles), then √2cosα - cosβ is equal to?
0 h : 0 m : 1 s