New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Inverse Trigonometric Functions question

2025 · 2 Apr · Shift 2 · Q46

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2025 · 2 Apr · Shift 2 · Q46

Inverse Trigonometric Functions question

2025 · 2 Apr · Shift 2 · Q46

JEE MainMathematicsInverse Trigonometric FunctionsNumerical+4 / −1

\text { If } y=\cos \left(\frac{\pi}{3}+\cos ^{-1} \frac{x}{2}\right) \text {, then }(x-y)^2+3 y^2 \text { is equal to }

Numerical answer

More from Inverse Trigonometric Functions

Considering the principal values of the inverse trigonometric functions, $sin^{- 1} (\frac{3}{2} x + \frac{1}{2} 1 - x^{2}), - \frac{1}{2} < x < \frac{1}{2}$ , is equal to2025 · MCQ
The sum of the infinite series $cot^{- 1} (\frac{7}{4}) + cot^{- 1} (\frac{19}{4}) + cot^{- 1} (\frac{39}{4}) + cot^{- 1} (\frac{67}{4}) + \dots$ . is :2025 · MCQ
The value of $cot^{- 1} (\frac{1 + t a n ^{2} ( 2 ) - 1}{t a n ( 2 )}) - cot^{- 1} (\frac{1 + t a n ^{2} ( \frac{1}{2} ) + 1}{t a n ( \frac{1}{2} )})$ is equal to2025 · MCQ
Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of $16 ((sec^{- 1} x)^{2} + (cosec^{- 1} x)^{2})$ is :2025 · MCQ
If $\frac{π}{2} \leq x \leq \frac{3 π}{4}$ , then $cos^{- 1} (\frac{12}{13} cos x + \frac{5}{13} sin x)$ is equal to2025 · MCQ
If for some $α, β; α \leq β, α + β = 8$ and $sec^{2} (tan^{- 1} α) + cosec^{2} (cot^{- 1} β) = 36$ , then $α^{2} + β$ is 2025 · Numerical
If $α > β > γ > 0$ , then the expression $cot^{- 1} {β + \frac{( 1 + β ^{2} )}{( α - β )}} + cot^{- 1} {γ + \frac{( 1 + γ ^{2} )}{( β - γ )}} + cot^{- 1} {α + \frac{( 1 + α ^{2} )}{( γ - α )}}$ …2025 · MCQ
$cos (sin^{- 1} \frac{3}{5} + sin^{- 1} \frac{5}{13} + sin^{- 1} \frac{33}{65})$ is equal to:2025 · MCQ