Mathematics Tes...

sin^-1 (sin 10 ) =

\(\sin \left(\frac{1}{2} \cos ^{-1} \frac{4}{5}\right)=\)

If one root of the quadratic equation \(a x^{2}+b x+c=0\) is equal to the \(n^{\text {th }}\) power of the other root, then the value of \(\left(a c^{n}\right)^{\frac{1}{n+1}}+\left(a^{n} c\right)^{\frac{1}{n+1}}\)

The coefficient of x in the equation x² + px + q = 0 was taken as 17 in place of 13, its roots were found to be -2 and -15, the roots of the original equation are

If \(x=\sin \left(2 \tan ^{-1} 2\right), y=\sin \left(\frac{1}{2} \tan ^{-1} \frac{4}{3}\right)\) then

The value of \(\sin \left[2 \tan ^{-1}\left(\frac{1}{3}\right)\right]+\cos \left[\tan ^{-1}(2 \sqrt{2})\right]=\)

\(\sin ^{-1}|\cos x|-\cos ^{-1}|\sin x|=a\) has at least one solution if \(\mathbf{a} \in\)

\(4 \tan ^{-1} \frac{1}{5}-\tan ^{-1} \frac{1}{239}\) is equal to