Prove that ${\sin ^{ – 1}}\frac{8}{{17}} + {\sin ^{ – 1}}\frac{3}{5} = {\sin ^{ – 1}}\frac{{77}}{{85}}$.[NCERT,Exemplar.2.3,Q.14,Page.36]May 23, 2021/Read More
Find the simplified form of${\cos ^{ – 1}}\left( {\frac{3}{5}\cos x + \frac{4}{5}\sin x} \right)$, where $x \in \left[ {\frac{{ –…May 23, 2021/Read More
Prove that ${\tan ^{ – 1}}\left( {\frac{{\sqrt {1 + {x^2}} + \sqrt {1 – {x^2}} }}{{\sqrt {1 + {x^2}} –…May 23, 2021/Read More
Solve the equation $\cos \left( {{{\tan }^{ – 1}}x} \right) = \sin \left( {{{\cot }^{ – 1}}\frac{3}{4}} \right)$.[NCERT,Exemplar.2.3,Q.11,Page.36]May 23, 2021/Read More
Show that $\cos \left( {2{{\tan }^{ – 1}}\frac{1}{7}} \right) = \sin \left( {4{{\tan }^{ – 1}}\frac{1}{3}} \right)$.[NCERT,Exemplar.2.3,Q.10,Page.36]May 22, 2021/Read More
If $2{\tan ^{ – 1}}(\cos \theta ) = {\tan ^{ – 1}}(2{\mathop{\rm cosec}\nolimits} \theta )$, then show that $\theta =…May 22, 2021/Read More
Find the value of $\sin \left( {2{{\tan }^{ – 1}}\frac{1}{3}} \right) + \cos \left( {{{\tan }^{ – 1}}2\sqrt 2 }…May 22, 2021/Read More
Find the real Solution of${\tan ^{ – 1}}\sqrt {x(x + 1)} + {\sin ^{ – 1}}\sqrt {{x^2} + x +…May 22, 2021/Read More
Show that $2{\tan ^{ – 1}}( – 3) = \frac{{ – \pi }}{2} + {\tan ^{ – 1}}\left( {\frac{{ –…May 22, 2021/[NCERT,Exemplar.2.3,Q.6,Page.35]Read More
Find the value of ${\tan ^{ – 1}}\left( {\tan \frac{{2\pi }}{3}} \right)$.[NCERT,Exemplar.2.3,Q.5,Page.35]May 22, 2021/Read More
