# NCERT Class 10 Chapter 8 Trigonometry Official CBSE Board Sample Problems Short Answer (For CBSE, ICSE, IAS, NET, NRA 2023)

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## Question

Prove that

### Solution

LHS

(Rationalizing the denominator of I fraction by )

RHS =

(Rationalizing the denominator of 2nd fraction by

Now, LHS = RHS Hence proved

## Question

Given , find the other trigonometric ratios of the angle A.

Given:

As

Now,

Also,

As

## Question

Write the values of and . What happens to sec x when x increases from to ?

### Solution

 Angles () 1 2 Not defined

The value of sec x increases and finally reaches to not defined limit as x increases from to .

## Question

If find the value of A.

If , prove that

## Question

If and

Find the value of

= 1

## Question

If , then find the value of

Evaluate:

## Question

If , where 5A and 4A are acute angles, find the value of A.