# NCERT Class 11-Math՚s: Chapter – 3 Trigonometric Functions Part 14 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 23**:

If has α and β as its roots, then prove that

**Answer**:

Given,

a d α and β are the roots of the equation.

Using the formula of multiple angles, we know that –

and

Clearly it is a quadratic equation in and as and are its solutions.

and are the roots of this quadratic equation.

We know that sum of roots of a quadratic equation:

Hence,

**Question 24**:

If then show that

**Answer**:

Given,

To prove:

Thus,

**Question 25**:

If lies in the first quadrant and then find the value of

**Answer**:

**Question 26**:

Find the value of the expression

**Answer**:

**Question 27**:

Find the general solution of the equation

**Answer**:

**Question 28**:

Find the general solution of the equation

**Answer**:

**Question 29**:

Find the general solution of the equation

**Answer**: