If ${\rm{\alpha }} = {\sin ^{ - 1}}\frac{4}{5} + {\sin ^{ - 1}}\frac{1}{3}{\rm{and}}\;{\rm{\beta }} = {\cos ^{ - 1}}\frac{4}{5} + {\cos ^{ - 1}}\frac{1}{3},\;$ then

${\rm{\alpha }} = {\rm{\beta }}$

${\rm{\alpha }} > {\rm{\beta }}$

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Analyzing +4 | -1

\mathrm{\alpha } = {\sin ^{ - 1}}\frac{4}{5} + {\sin ^{ - 1}}\frac{1}{3}\mathrm{and}\;\mathrm{\beta } = {\cos ^{ - 1}}\frac{4}{5} + {\cos ^{ - 1}}\frac{1}{3},\;

then

View answer and explanation

Correct option: A

\mathrm{\alpha } < \beta

Option A (

\alpha < \beta

) is correct because by calculating the values of

\alpha

and

\beta

, we can show that

\alpha

is less than

\beta

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