MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Integration of Trigonometric Functions

Write the pri...

Question

Write the principal value of :
$[{cos}^{- 1} \frac{\sqrt{3}}{2} + {cos}^{- 1} (- \frac{1}{2})]$

Open in App

Solution

${cos}^{- 1} \frac{\sqrt{3}}{2} + {cos}^{- 1} (- \frac{1}{2})$

$= {cos}^{- 1} \frac{\sqrt{3}}{2} + [π - {cos}^{- 1} (\frac{1}{2})]$

$= \frac{π}{6} + π - \frac{π}{3} = \frac{5 π}{6}$

Suggest Corrections

thumbs-up

0

Similar questions

Q. Write the principal value of

\cos^{- 1} (\cos \frac{2 π}{3}) + \sin^{- 1} (\sin \frac{2 π}{3})

Q. Write the principal value of

{cos}^{- 1} (\frac{1}{2}) - 2 {sin}^{- 1} (- \frac{1}{2}) .

Q. Write the principal value of

{tan}^{- 1} (1) + {cos}^{- 1} (- \frac{1}{2})

Q. Write the principal values of the following:

s i n^{- 1} (- \frac{1}{2}) + c o s^{- 1} (- \frac{1}{2})

Q. Write the principal value of

{sin}^{- 1} {cos ({sin}^{- 1} \frac{1}{2})}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Integration of Trigonometric Functions

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Integration of Trigonometric Functions

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon