1+ 1- is equal to : - Vidyadip

MCQ

$\sqrt{\frac{1+\sin\theta}{1-\sin\theta}}$ is equal to :

✓
$\sec\theta+\tan\theta$
B
$\sec\theta-\tan\theta$
C
$\sec^2\theta+\tan^2\theta$
D
$\sec^2\theta-\tan^2\theta$

✓

Answer

Correct option: A.

$\sec\theta+\tan\theta$

$\sqrt{\frac{1+\sin\theta}{1-\sin\theta}}=\sqrt{\frac{(1+\sin\theta)(1+\sin\theta)}{(1-\sin\theta)(1+\sin\theta)}}$
$=\sqrt{\frac{(1+\sin\theta)^2}{1-\sin^2\theta}}$
$=\sqrt{\frac{(1+\sin\theta)^2}{\cos^2\theta}}$
$=\frac{1+\sin\theta}{\cos\theta}=\frac{1}{\cos\theta}+\frac{\sin\theta}{\cos\theta}$
$=\sec\theta+\tan\theta$

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 Introduction of Trigonometry→Introduction of Trigonometry — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

If P(-1, 1) is the mid-point of the line segment joining A(-3, b) and B(1, b + 4) then b = ?

If the difference between the circumference and the radius of a circle is $37 \ cm,$ then using $\pi = \frac{22}{7},$ the circumference $($in $\ cm)$ of the circle is :

If the surface area of a sphere is $616 \ cm^2$, its diameter is

A real number $k$ is said to be a zero of a polynomial $p(x),$ if $p(k) =$

If $\tan\theta=\frac{\text{a}}{\text{b}}$ then $\frac{(\text{a}\sin\theta-\text{b}\cos\theta)}{(\text{a}\sin\theta+\text{b}\cos\theta)} =?$

A sphere of radius $6\ cm$ is dropped into a cylindrical vessel partly filled with water. The radius of the vessel is $8\ cm.$ If the sphere is submerged completely, then the surface of the water rises by :

From a point on the ground, $30 m$ away from the foot of a tower, the angle of elevation of the top of the tower is $30^{\circ}$. The height of the tower is

The value of $'k\ ’$ for which the system of equations $3x + 5y = 0$ and $kx + 10y = 0$ has a non zero solution is :

The zeroes of a polynomial $x^2+p x+q$ are twice the zeroes of the polynomial $4 x^2-5 x-6$. The value of $p$ is

The decimal expansion of $\frac{21}{24}$ will terminate after :