Find the general solutions of the following equations: 3 =2 - Vidyadip

Question

Find the general solutions of the following equations:
$\sqrt{3}\sec\text{x}=2$

✓

Answer

we have,
$\sqrt{3}\sec\text{x}=2$
$\Rightarrow\frac{1}{\cos\theta}=\frac{2}{\sqrt{3}}$
$\Rightarrow\cos\theta=\frac{\sqrt{3}}{2}$
$\Rightarrow\cos\theta=\cos\Big(\frac{\pi}{6}\Big)$
$\Rightarrow\theta=2\text{n}\pi\pm\frac{\pi}{6},\text{n}\in\text{z}$

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 Equations→Trigonometric Equations — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the equation of the line having inclination 135° and making x-intercept 7.

A family has two children. Find the probability that both the children are girls, given that at least one of them is a girl.

Insert A.M.s between $7$ and $71$ in such a way that the $5^{\text {th }}$ A.M. is $27$ . Find the number of A.M.s.

$\frac{(15-n) !}{(13-n) !}=12$

Use De Moivre’s theorem and simplify the following:

$\frac{\cos 5 \theta+i \sin 5 \theta}{(\cos 3 \theta-i \sin 3 \theta)^2}$

Find $\sum_{r=1}^n r(r-3)(r-2)$

Find the modulus and argument of each complex number and express it in the polar form : 8 + 15i

Evaluate the following limit:
$\lim\limits_{\text{x}\rightarrow{\text{a}}}\frac{\text{logx}-\text{loga}}{\text{x}-\text{a}}$

Differentiate the following w.r.t. $x: y=x^2 \sqrt{x}+x^4 \log x$

Find the coefficients of $x^{60}$ in the expansion of $\left(\frac{1}{x^2}+x^4\right)^{18}$