Trigonometric Identities - Class 11 (HSSC-I) Mathematics

Q1

$2\sin 4x \cos 3x$ is equal to

Q2

If $3\sin x + 4\cos x = r\sin(x+y)$, then $r$ will be

Q3

Which of the following trigonometric ratios has a positive sign?

Q4

If the distance between $(2, 0)$ and $(0, \sqrt{a})$ is $c$, then the expression for $a$ will be

Q5

$\sin\theta$ can be represented as

Q6

If $\sin\alpha = a$ and $\cos\alpha = b$, then the value of $\sin 2\alpha$ is equal to

Q7

Which of the following formulae is/are equal to $\cos\theta$?
I. $\sin\left(\dfrac{\pi}{2}-\theta\right)$
II. $\sin\left(\dfrac{\pi}{2}+\theta\right)$
III. $\sin\left(\dfrac{3\pi}{2}-\theta\right)$

Q8

The distance between the points $(0,0)$ and $(\sin\alpha, -\cos\beta)$ is

Q9

On simplification of $\sec^2\theta - \tan^2\theta - 1$, we get

Q10

If $\sin\theta = 2\cos\theta$, then $1+\cot\theta$ is equal to

Q11

If $\tan x = \dfrac{3}{4}$, then $\cos x$ will be equal to

Q12

Fill in the blanks:

Q13

Fill in the blanks:

Q14

The expression $5\sin\theta+12\cos\theta$ can be converted as