The value of 2 -1 2-sin -11-2 isa -6b 5 -6- c 7 -6 d 1 -

(b) We have,2 sec^ 1 2+sin^ 11/2=2sec^ 1( secπ/3)+sin^ 1( sinπ/6) =2.π/3+π/6 [∵ sec^ 1(sec x)=x and sin^ 1(sin x)=x ] =4π+π/6=5π/6 ...

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Sign of Trigonometric Ratios in Different Quadrants

The value of ...

Question

The value of $2 s e c^{- 1} 2 + s i n^{- 1} (\frac{1}{2})$ is

(a) $\frac{π}{6}$ (b) $\frac{5 π}{6}$ (c) $\frac{7 π}{6}$ (d) 1

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{sin}^{- 1} \frac{1}{2} + {cos}^{- 1} \frac{1}{2} + {tan}^{- 1} \frac{1}{\sqrt{3}}

(a) \frac{2 π}{3} (b) \frac{π}{2}

(c) \frac{3 π}{4} (d) \frac{5 π}{6}

Complete set of values of x satisfying cos2x > |sinx|, $x \in (\frac{- π}{2}, π)$ is

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

\frac{π}{2}

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

\frac{π}{6}

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

\frac{5 π}{6}

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

\frac{7 π}{6}

$c o s^{- 1} (c o s \frac{7 π}{6})$ is equal to
a) $\frac{7 π}{6}$
b) $\frac{5 π}{6}$
c) $\frac{π}{3}$
d) $\frac{π}{6}$

The angle between two vectors $\to a a n d \to b$ with magnitudes $\sqrt{3}$ and 4, respectively and $\to a . \to b = 2 \sqrt{3}$ is

(a) $\frac{π}{6}$

(b) $\frac{π}{3}$

(d) $\frac{5 π}{2}$

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