Fsc Math First Year math Mcqs CH#14 SOLUTIONS OF RIGONOMETRIC EQUATIONS

PAKMATH January 06, 2021

Fsc First Year SOLUTIONS OF RIGONOMETRIC EQUATIONS Ch:14 consist of 50+ Multiple Choice Questions. Prepare these mcqs for ECAT and examination. These mcqs are very helpful for preparing NTS and PPSC exams.

Q.1 Solution set of 2cos $\theta+\sqrt{3}$ = 0 is

(a) finite

(b) infinite

(c) $\phi$

(d) None

(Gujranwala board,2004)

Infinite

Q.2 The general solution of the equation 1+cos x = 0 is

(a) $\begin{Bmatrix} \frac{\pi}{2}+2n\pi \end{Bmatrix}$

(b) $\begin{Bmatrix} -\frac{\pi}{2}+2n\pi \end{Bmatrix}$

(c) $\begin{Bmatrix} {\pi}+2n\pi \end{Bmatrix}$

(d) $\begin{Bmatrix} {-\pi}+2n\pi \end{Bmatrix}$

(Multan board,2004)

(c) $\begin{Bmatrix} {\pi}+2n\pi \end{Bmatrix}$

Q.3 If sin x = 1/ 2, then x =

(a) $\frac{\pi}{6},\frac{5\pi}{6}$

(b) $-\frac{\pi}{6},\frac{5\pi}{6}$

(c) $-\frac{\pi}{6},-\frac{5\pi}{6}$

(d) $\frac{\pi}{3},\frac{2\pi}{3}$

(Gujranwala board,2006)

(a) $\frac{\pi}{6},\frac{5\pi}{6}$

Q.4 Solution of 1 + cos x= 0 is

(a) $\frac{\pi}{2}$

(b) $\pi$

(c) 2 $\pi$

(d) None of these

(b) $\pi$

Q.5 cos x = $\frac{1}{2}$ has a solution

(a) $\frac{\pi}{2}$

(b) $\frac{\pi}{3}$

(c) $\frac{\pi}{4}$

(d) $\frac{\pi}{6}$

(Lahore board,2005)

(d) $\frac{\pi}{6}$

Q.6 If sin x + cos x = 0, then x =

(a) $\frac{\pi}{4},-\frac{\pi}{4}$

(b) $-\frac{\pi}{4},-\frac{\pi}{2}$

(c) $-\frac{\pi}{4},\frac{3\pi}{4}$

(d) None of these

(Lahore board,2004)

(c) $-\frac{\pi}{4},\frac{3\pi}{4}$

Q.7 Solutions of the equation 1+cos $\theta$ =0 are in quadrants

(a) II & III

(b) I & IV

(c) II & IV

(d) None of these

(Lahore board,2006)

(d) None of these

8.ahahs

Fsc First Year Math Mcqs