Page 54 - DMTH201_Basic Mathematics-1

Unit 2: Trigonometric Functions-II

Notes
(b)

(c)

(d)

2.9 Review Questions

1. What’s the exact value of tan 15° or tan (π/12)?
2. Find all solutions for sin² (E/2) − cos² (E/2) = 1.

3. Solve

4. Prove that :

5. Prove that : sin 6x – sin 4x = sin 2x sin 10x
2
2
6. Verify that cos 2x – cos 6x = sin 4x sin 8x
2
2
7. Prove that sin x + 2 sin 4x + sin 6x = 4 cos x sin 4x
2
2
8. Solve the given equation : cot 4x (sin 5x + sin 3x) = cot x (sin 5x – sin 3x)
9. Prove the cosine sum of two angles
10. Prove the tan sum of two angles

Answers: Self Assessment

1. (a) 2. (b)
3. (a) 4. (a)
5. (a) 6. (a)

7. (d) 8. (b)
9. (a) 10. (d)

2.10 Further Readings

Books
Husch, Lawrence S. Visual Calculus, University of Tennessee, 2001.
NCERT Mathematics books class XI
NCERT Mathematics books class XII

Smith and Minton. Calculus Early Trancendental, Third Edition. McGraw Hill.2008

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