1+ is equal to - Vidyadip

MCQ

$\frac{\sin \theta}{1+\cos \theta}$ is equal to

A
$\frac{1-\sin \theta}{\cos \theta}$
B
$\frac{1-\cos \theta}{\cos \theta}$
✓
$\frac{1-\cos \theta}{\sin \theta}$
D
$\frac{1+\cos \theta}{\sin \theta}$

✓

Answer

Correct option: C.

$\frac{1-\cos \theta}{\sin \theta}$

(C) $\frac{1-\cos \theta}{\sin \theta}$
Explanation: We have, $\frac{\sin \theta}{1+\cos \theta}=\frac{\sin \theta(1-\cos \theta)}{(1+\cos \theta)(1-\cos \theta)}$
$=\frac{\sin \theta(1-\cos \theta)}{1-\cos ^2 \theta}=\frac{\sin \theta(1-\cos \theta)}{\sin ^2 \theta}$
$=\frac{1-\cos \theta}{\sin \theta}$

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 "M.C.Q (1 Marks)" from MODEL PAPER 1 (BASIC)→MODEL PAPER 1 (BASIC) — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

A box contains 90 discs, numbered from 1 to 90. If one disc is drawn at random from the box, the probability that it bears a prime number less than 23, is:

If $\cos\text{A}+\cos^2\text{A}=1,$ then $\sin^2\text{A}+\sin^4\text{A}=$

The point on $x-$axis which is equidistant from points $A(-1, 0)$ and $B(5, 0)$ is :

The $4^{\text {th }}$ term from the end of the $A P:-11,-8,-5, \ldots, 49$ is

The area of a square is the same as the area of a circle. Their perimeters are in the ratio:

A $1.2m$ tall boy stands at a distance of $2.4m$ from a lamp post and casts a shadow of $3.6m$ on the ground. The height of the lamp post is :

Choose the correct answer from the given four options.
To construct a triangle similar to a given $\triangle\text{ABC}$ with its sides $\frac{8}{5}$ of the corresponding sides of $\triangle\text{ABC}$ draw a ray BX such that $\angle\text{CBX}$ is an acute angle and X is on the opposite side of A with respect to BC. The minimum number of points to be located at equal distances on ray BX is:

The base radius of the cylinder is $1 \frac{2}{3}$ times its height. The cost of painting its $\text{C.S.A.}$ at $2$ paise $/ \ cm ^2$ is $₹\ 92.40$ . The volume of the cylinder is

Choose the correct answer from the given four options:
If $x_i^{\prime}$ s are the mid points of the class intervals of grouped data, $f _{ i }^{\prime}$ s are the corresponding frequencies and $\overline{ x }$ is the mean, then $\sum\left(f_i-\bar{x}\right)$ is equal to:

If $a$ and $b$ can take values $1, 2, 3, 4$. Then the number of the equations of the from $ax^2+ bx + 1 = 0$ having real roots is: