NCERT Class 11-Math՚s: Exemplar Chapter 3 Trigonometric Functions Part 6 (For CBSE, ICSE, IAS, NET, NRA 2023)
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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