Mathematics Tes...

If $\alpha \text{, }\beta$ are eccentric angles of the extremities of a focal chord of an ellipse, then eccentricity of the ellipse is :

The value of definite integral \(\int_{0}^{1} \frac{\sin ^{-1} \sqrt{\mathrm{x}}}{\mathrm{x}^{2}-\mathrm{x} 1} \mathrm{d}\) x is equal to

tan⁻¹(5/6)+12tan⁻¹(11/60)=

If \(\frac{1}{\sqrt{2}}

If \(\tan ^{-1}\left(x+\frac{2}{x}\right)-\tan ^{-1}\left(x-\frac{2}{x}\right)=\tan ^{-1}\left(\frac{4}{x}\right)\) then \(x=\)

If sin⁻¹(x)+sin⁻¹(2x)=π/3, then x=

If sin⁻¹x+4cos⁻¹x=π , then x=

\(\cos ^{-1}\left\{\frac{1}{\sqrt{2}}\left(\cos \frac{9 \pi}{10}-\sin \frac{9 \pi}{10}\right)\right\}=\)

If \(\Delta A B C\) is right angled at \(C\), then \(\tan ^{-1}\left(\frac{a}{b+c}\right)+\tan ^{-1}\left(\frac{b}{c+a}\right)=\)

sin−1(sin5)+cos−1(cos7)−tan−1(tan5)=