The principal value of sin -1 sin 5- 6 is

The correct option is A π6 As for nbsp;sin ^ 1 x x∈[ π nbsp;/ 2 ,π nbsp;/ 2 nbsp;] Hence nbsp;sin ^ 1 ( sin 5π nbsp; 6 nbsp; ...

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Domain and Range of Basic Inverse Trigonometric Functions

The principal...

Question

The principal value of ${sin}^{- 1} (sin \frac{5 π}{6})$ is

\frac{π}{6}

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\frac{5 π}{6}

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\frac{7 π}{6}

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None of these

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∣ ∣ ∣ 1 - \frac{| sin x |}{1 + | sin x |} ∣ ∣ ∣ \geq \frac{2}{3}

x

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

If the product of the roots of equation 2 $x^{2}$ + ax + 4 sin a = 0 is 1, then roots will be imaginary if :

x

sin x > \frac{1}{2}

{(\frac{5 π}{12})}^{\circ}

- {(\frac{7 π}{12})}^{\circ}

\frac{π}{3}

\frac{5 π^{\circ}}{6}

\frac{2 π^{\circ}}{9}

\frac{7 π^{\circ}}{24}

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