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

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## Question

**If**

### Solution

So,

## Question

**Prove that**

### Solution

## Question

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

### Solution

We have (Given) . . (i)

We know that

… (ii)

Adding (i) and (ii) we get

And

## Question

**If sin** **and**, **find the value of**:

### Solution

(Given)

s )

Also (Given)

(As )

… (ii)

Solving (i) and (ii) for A and B, we get and

(j)

(ii)

## Question

**If** , **find the value of**:

### Solution

Give

Now put values of and in the given expression

We get

## Question

### Solution

Taking LHS

RHS

## Question

**Prove**:

### Solution

LHS

RHS

Now LHS = RHS

## Question

**Prove that**

### Solution

## Question

**If** **then find the value of CosecX**

### Solation

Adding 1 and 2 we get

On subtracting 2 from 1 we get

## Question

### Solution

LHS