SSC CGL 202211)tan2 A + 5 sec A = 13, where 0 < A < 90°. Solve for A (in degrees).
60
SSC CGL 202212)If 2k sin 30° cos 30° cot 60° = \(\frac{{{{\cot }^2}30^\circ \sec 60^\circ \tan 45^\circ }}{{{\rm{cose}}{{\rm{c}}^{\rm{2}}}{\rm{45^\circ cosec 30}}^\circ }}\) , then find the value of k.
3
SSC CGL 202213)Find the value of the following expression:
\( \frac{{{{\tan }^3}45^\circ + 4{{\cos }^3}60^\circ }}{{2{\rm{cose}}{{\rm{c}}^2}45^\circ - 3{{\sec }^2}30^\circ + \sin 30^\circ }}\)
3
SSC CGL 202214)If 5 sin θ - 4 cos θ = 0, 0° < θ < 90°, then the value of \(\frac{{{\rm{5sin}}\,{\rm{\theta }}\,{\rm{ + }}\,{\rm{2 cos}}\,{\rm{\theta }}}}{{{\rm{5sin}}\,{\rm{\theta }}\,{\rm{ + }}\,{\rm{3 cos}}\,{\rm{\theta }}}}\) is:
\(\frac{6}{7}\)
SSC CGL 202215)If 5 sin θ – 4 cos θ = 0, 0° < θ < 90°, then the value of \(\frac{5sin\theta-cos\theta}{5sin\theta+3cos\theta}\) is:
\(\frac{3}{7}\)
SSC CGL 202216)The expression (cos6 θ + sin6 θ – 1)(tan2 θ + cot2 θ + 2) + 3 is equal to:
0
SSC CGL 202217)If sin2θ - cos2θ - 3sinθ + 2 = 0, 0° < θ < 90°, then what is the value of 1 + secθ + tanθ?
SSC CGL 202218)\(\begin{aligned} (\sec \emptyset-\tan \emptyset)^{2}(1+\sin \emptyset)^{2} \div \cos ^{2} \emptyset=? \\ \end{aligned}\)
1
SSC CGL 202219)If A = 60°, what is the value of:
\(\frac{\left[8 \cos \mathrm{A}+7 \sec \mathrm{A}-\tan ^{2} \mathrm{~A}\right]}{10 \sin \frac{A}{2}}\)
3
SSC CGL 202220)If sec2θ + tan2θ = 3\( \frac{1}{2}\), 0° < θ < 90° then (cosθ + sinθ) is equal to
\(\frac{2+\sqrt{5}}{3}\)