Table of Contents
Chapter 6 Trigonometric Identities Exercise Ex. 6.1
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23(i)
Solution 23(i)
Question 23(ii)
Solution 23(ii)
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27
Question 28
Solution 28
Question 29
Solution 29
Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36
Solution 36
Question 37. i
Solution 37. i
Question 37. ii
Prove the following trigonometric identities:
Solution 37. ii
L.H.S.,
Question 38(i)
Solution 38(i)
Question 38(ii)
Solution 38(ii)
Question 38(iii)
Solution 38(iii)
Question 38(iv)
Solution 38(iv)
Question 39
Solution 39
Question 40
Solution 40
Question 41
Solution 41
Question 42
Solution 42
Question 43
Solution 43
Question 44
Solution 44
Question 45
Solution 45
Question 46
Solution 46
Question 47 (i)
Solution 47 (i)
Question 47 (ii)
Solution 47 (ii)
Question 47 (iii)
Solution 47 (iii)
Question 47(iv)
Prove that:
(sin θ + cos θ)(tan θ + cot θ) = sec θ + cosec θSolution 47(iv)
Question 48
Solution 48
Question 49
Solution 49
Question 50
Prove that:
Solution 50
Question 51
Solution 51
Question 52
Solution 52
Question 53
Solution 53
Question 54
Solution 54
Question 55. i
Solution 55. i
Question 55. ii
Solution 55. ii
Question 56
Solution 56
Question 57
Solution 57
Question 58
Solution 58
Question 59
Solution 59
Question 60
Solution 60
Question 61
Solution 61
Question 62
Solution 62
Question 63
Solution 63
Question 64
Solution 64
Question 65. i
Solution 65. i
Question 65(ii)
Solution 65(ii)
Question 66
Solution 66
Question 67
Solution 67
Question 68
Solution 68
Question 69
Solution 69
Question 70
Solution 70
Question 71
Solution 71
Question 72
Solution 72
Question 73
Solution 73
Question 74
Solution 74
Question 75
Solution 75
Question 76
Solution 76
Question 77
Solution 77
Question 78
Solution 78
Question 79
Solution 79
Question 80
Solution 80
Question 81
Solution 81
Question 82
Solution 82
Question 83
Solution 83
Question 84
Solution 84
Question 85
Solution 85
Question 86
If sin θ + 2 cos θ = 1 prove that 2 sin θ – cos θ = 2.Solution 86
Question 23 (iii)
Solution 23 (iii)
To prove:
Consider LHS
= RHS
Hence, proved.
Chapter 6 Trigonometric Identities Exercise Ex. 6.2
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
If 2sin2 θ – cos2 θ = 2, then find the value of θ.Solution 13
Question 14
If tan θ – 1 = 0, find the value of sin2θ – cos2 θ.Solution 14
Question 4
If evaluate Solution 4
Given:
Consider,
… [Multiplying and dividing by tan θ]
Chapter 6 Trigonometric Identities Exercise 6.56
Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
sec4 – sec2A is equal to
(a) tan2A – tan4A (b) tan4A – tan2A
(c) tan4A + tan2A (d) tan2A – tan4A Solution 5
Question 6
cos4A-sin4A is equal to
(a) 2cos2A+1 (b) 2cos2A-1
(c) 2sin2A-1 (d) 2sin2A+1 Solution 6
Chapter 6 Trigonometric Identities Exercise 6.57
Question 7
Solution 7
Question 8
Solution 8
Question 9
The value of (1+cotθ – cosecθ ) (1+tanθ + secθ) is
(a) 1 (b) 2 (c) 4 (d) 0Solution 9
Question 10
Solution 10
Question 11
(cosecθ – sinθ) (secθ – cosθ) (tanθ + cotθ) is equal
(a) 0 (b) 1 (c)-1 (d) None of theeSolution 11
Question 12
Solution 12
Question 13
If x =a secθ and y=b tanθ then b2x2a2y2=
(a) ab (b) a2 – b2 (c) a2 + b2 (d) a2b2Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
If acosθ + bsinθ = 4 and asinθ-bcosθ = 3, then a2+b2=
(a) 7 (b) 12 (c) 25 (d) None of theseSolution 16
Question 17
Solution 17
Question 18
Solution 18
Question 19
Solution 19
Chapter 6 Trigonometric Identities Exercise 6.58
Question 20
Solution 20
Question 21
Solution 21
Question 22
Solution 22
Question 23
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27
Question 28
Solution 28
Question 29
If sin θ – cos θ = 0, then the value of sin4 θ + cos4 θ is
- 1
Solution 29
Question 30
The value of sin (45° + θ) – cos (45° – θ) is equal to
- 2 cos θ
- 0
- 2 sin θ
- 1
Solution 30
Question 31
If ΔABC is right angled at C, then the value of cos (A + B) is
- 0
- 1
Solution 31
Chapter 6 Trigonometric Identities Exercise 6.59
Question 32
If cos 8θ = sin θ and 8θ < 90°, then the value of tan 6θ is
- 1
- 0
Solution 32
Question 33
If cos (α + β) = 0, then sin (α – β) can be reduced to
- cos β
- cos 2β
- sin α
- sin 2α
Solution 33
Discover more from EduGrown School
Subscribe to get the latest posts sent to your email.