The principal solutions of x=2 3 are ..... - Vidyadip

MCQ

The principal solutions of $\sec x=\frac{2}{\sqrt{3}}$ are .....

A
$\frac{\pi}{3}, \frac{11 \pi}{3}$
B
$\frac{\pi}{6}, \frac{11 \pi}{3}$
C
$\frac{\pi}{4}, \frac{11 \pi}{3}$
D
$\frac{\pi}{6}, \frac{11 \pi}{3}$

✓

Answer

$\sec x=\frac{2}{\sqrt{3}}$
$\cos x=\frac{\sqrt{3}}{2}=\frac{\cos \pi}{6}=\cos (2 \pi-\pi 6)$
$\frac{\pi}{6}, \frac{11 \pi}{6}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve the Following Question.(2 Marks)" from Trigonometric Functions→Trigonometric Functions — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

The p.m.f. of a r.v. $X$ is given by $P(X=x)=\frac{{ }^5 C_x}{2^5}$, for $x=0,1,2,3,4,5$ and $=0$, otherwise. Then show that $P(X \leq 2)=P(X \geq 3)$.

If A and B are symmetric matrices, then write the condition for which AB is also symmetric.

Find the value of x from the following: $\begin{bmatrix}2\text{x}-\text{y}&5\\3&\text{y} \end{bmatrix}=\begin{bmatrix}6&5\\3&-2 \end{bmatrix}$

Determine the order and degree of the following differential equations. state also whether they are linear or non linear.
$\frac{\text{d}^3\text{x}}{\text{dt}^3}+\frac{\text{d}^3\text{x}}{\text{dt}^2}+\Big(\frac{\text{ dx}}{\text{dt}}\Big)^2=\text{e}^\text{t}$

If two vectors $\vec{\text{a}}$ and $\vec{\text{b}}$ are such that $|\vec{\text{a}}|=2,\big|\vec{\text{b}}\big|=1$ and $\vec{\text{a}}.\vec{\text{b}}=1,$ then find the value of $\big(3\vec{\text{a}}-5\vec{\text{b}}\big).\big(2\vec{\text{a}}+7\vec{\text{b}}\big).$

write the value of the determinant $\begin{vmatrix}2&-3&5\\4&-6&10\\6&-9&15\end{vmatrix}$

Find the number of all onto functions from the set A = {1, 2, 3, ..., n} to itself.

If $f(x)=2 x+5$ and $g(x)=x^2+1$ be two real functions, then describe the following functions: $f^2$
Also, show that fof $\neq f^2$

If A is a skew-symmetric and n ∈ N such that $(\text{A}^\text{n})^\text{T}=\lambda\text{A}^\text{n},$ write the value of $\lambda.$

Find the graphical solution for the system of linear inequation 2x + y ≤ 2, x − y ≤ 1