Trigonometric Ratios & Identities

If angle $C$ of a triangle $A B C$ is a right angle, then what is $\tan \mathrm{A}+\tan \mathrm{B}$ equal to?

Match List-I with List-II and select the correct answer using the code given below the lists : Code : $\begin{array}{llll}\text { A } & \text { B } & \text { C } & \text { D }\end{array}$

Consider the following lists: Each item under List-I is associated with one or more items under List-II. (b) is associated with

If $\sin \mathrm{A}=\frac{3}{5}$, where $450^{\circ} \lt \mathrm{A} \lt 540^{\circ}$, then $\cos \frac{\mathrm{A}}{2}$ is equal to

If $\sec x=\frac{25}{24}$ and $x$ lies in the fourth quadrant, then what is the value of $\tan x+\sin x$ ?

If $\sin \theta=-\frac{1}{2}$ and $\tan \theta=\frac{1}{\sqrt{3}}$, then in which quadrant does $\theta$ lie?

In $\triangle \mathrm{PQR}, \angle \mathrm{R}=\frac{\pi}{2}$. If than $\left(\frac{\mathrm{P}}{2}\right)$ and $\tan \left(\frac{\mathrm{Q}}{2}\right)$ are the roots of the equation $a x^2+b x+c=0$, then which one of the…

Consider the following lists: Each item under List-I is associated with one or more items under List-II. (c) is associated with

If $\sin 18^{\circ}=\frac{\sqrt{5}-1}{4}$, then what is the value of $\sin 81^{\circ}$ ?

Consider the following lists: Each item under List-I is associated with one or more items under List-II. (a) is associated with

What is $\frac{\sqrt{3} \cos 10^{\circ}-\sin 10^{\circ}}{\sin 25^{\circ} \cos 25^{\circ}}$ equal to?

What is the value of $\tan 65^{\circ}+2 \tan 45^{\circ}-2 \tan$ $40^{\circ}-\tan 25^{\circ} ?$