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: