Embibe Experts Solutions for Chapter: Trigonometric Ratios and Identities, Exercise 1: NDA & NA EE 2019 Paper 1 Mathematics

If $\sin x+\sin y=\cos y-\cos x$ where $0<y<x<\frac{\pi }{2},$ then what is $\tan \left(\frac{x-y}{2}\right)$ equal to?

What is the maximum value of $\sin x·\cos x?$

What is the minimum value of $3\cos \left(A+\frac{\pi }{3}\right)$ where $A\in R?$

What is $\cos 80°+\cos 40°-\cos 20°$ equal to?

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

What is $\cot \left(\frac{A}{2}\right)-\tan \left(\frac{A}{2}\right)$ equal to?

What is $\cot A+cosecA$ equal to?

What is $\tan 25°\tan 15°+\tan 15°$$\tan 50°+\tan 25°\tan 50°$ equal to?