# NCERT Class 10 Chapter 8 Trigonometry Official CBSE Board Sample Problems Short Answer (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Question

**Prove that**

### Solution

LHS

(Rationalizing the denominator of I fraction by )

RHS =

(Rationalizing the denominator of 2^{nd} fraction by

Now, LHS = RHS Hence proved

## Question

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

### Solution

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**.

### Solution

## Question

**If** , **prove that**

### Solution

## Question

**If** **and**

**Find the value of**

### Solution

= 1

## Question

**If** , **then find the value of**

### Solution

## Question

**Evaluate**:

### Solution

## Question

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