NCERT Class 11-Math's: Exemplar Chapter 3 Trigonometric Functions Part 6
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Question 13:
If angle is divided into two parts such that the tangent of one part is times the tangent of other, and φ is their difference, then show that
Answer:
Or
Applying componendo and dividendo, we have
Or
Given that . Therefore,
Question 14:
Solve
Answer:
Divide the given equation by 2 to get
Thus, the solution are given by, i.e.,
Hence, the solution are
Objective Type Questions
Choose the Correct Answer from the Given Four Options Against Each of the Examples 15 to 19
Question 15:
If tan is (A)
(B)
(C)
(D) None of these
Answer:
Correct choice is B. Since is negative, θ lies either in second quadrant or in fourth quadrant. Thus if lies in the second quadrant or , if lies in the fourth quadrant.
Question 16:
If and are the roots of the equation, then a, b and c satisfy the relation.
(A)
(B)
(C)
(D)
Answer:
The correct choice is (B).
Given that and are the roots of the equation = (Why?)
Using the identity , we have
Question 17:
The greatest value of is
(A)
(B)
(C)
(D)
Answer:
(D) is the correct choice, since