SSC CGL 2022201)\(\begin{aligned} (\sec \emptyset-\tan \emptyset)^{2}(1+\sin \emptyset)^{2} \div \cos ^{2} \emptyset=? \\ \end{aligned}\)
1
SSC CGL 2022202)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 2022203)If sec2θ + tan2θ = 3\( \frac{1}{2}\), 0° < θ < 90° then (cosθ + sinθ) is equal to
\(\frac{2+\sqrt{5}}{3}\)
SSC CGL 2022204)The expression (cos6 θ + sin6 θ-1) (tan2θ + cot2θ + 2) +1 is equal to:
-2
SSC CGL 2022205)The value of 2 - \(\sqrt {\frac{{\cot \theta + \cos \theta }}{{\cot \theta - \cos \theta }}}\), when 0° < θ < 90° is equal to:
2 – sec θ – tan θ
SSC CGL 2022206)If A = 10∘ , what is the value of: \(\frac{{12\sin 3A + 5\cos (5A - {5^ \circ })}}{{9\sin \frac{{9A}}{2} - 4\cos (5A + {{10}^ \circ })}}\)
\(\frac{{6\sqrt 2 + 5}}{{(9 - 2\sqrt 2 )}} \)
SSC CGL 2022207)If 2 sin2 θ + 3 cos θ = 3, 0∘ < θ < 90∘ , then the value of ( sec2 θ + cot2 θ) is
\(4\frac{1}{3} \)
SSC CGL 2022208)If A = 60°, what is the value of:
\( \frac{{{\rm{10 \ sin }}\frac{{\rm{A}}}{{\rm{2}}}{\rm{ \ + \ 8cosA}}}}{{{\rm{7\ sin }}\frac{{{\rm{3A}}}}{{\rm{2}}}{\rm{ \ - \ 12cosA}}}}={\rm{?}}\)
9
SSC CGL 2022209)If 3 sin2 θ + 4cos θ - 4 = 0, 0° < θ < 90, then the value of (cosec2 θ + cot2 θ) is
5/4
SSC CGL 2022210)If cos B = 5 / 7 , what is the value of cosec B + cot B? Given that 0 < B < π/2?
\(\sqrt 6\)