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Trigonometry: Trigonometric range Assignment Solutions - Decoded

Trigonometry: Trigonometric range Assignment Solutions

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Page 1: Trigonometry: Trigonometric range Assignment Solutions

Trigonometry: Trigonometric range Assignment Solutions - Decoded

Page 2: Trigonometry: Trigonometric range Assignment Solutions

Q1. find the range of f(x) = sin2 x - 3sinx + 2

Page 3: Trigonometry: Trigonometric range Assignment Solutions

Solution :

Page 4: Trigonometry: Trigonometric range Assignment Solutions

Q2. The least value of 2 sin2 θ + 3 cos2 θ is

A

B

1

2

D

C

5

3

A

B

D

C

D

Page 5: Trigonometry: Trigonometric range Assignment Solutions

Solution :

Page 6: Trigonometry: Trigonometric range Assignment Solutions

Q3. Find the minimum and maximum value of (3cosθ + 4sinθ)2

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Solution :

Page 8: Trigonometry: Trigonometric range Assignment Solutions

Q4. Find the minimum and maximum value of sin2θ - 3sinθ + 2

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Solution :

Page 10: Trigonometry: Trigonometric range Assignment Solutions

Q5. Find the maximum and minimum value of | 8sinθ - 6cos θ| + 4

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Solution :

Page 12: Trigonometry: Trigonometric range Assignment Solutions

Q6. Find the minimum and maximum value of 5sin2θ + 12cos2θ + 3

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Solution :

Page 14: Trigonometry: Trigonometric range Assignment Solutions

Q7. Find the minimum and maximum value of 2cos2θ - cosθ + 4

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Solution :

Page 16: Trigonometry: Trigonometric range Assignment Solutions

Q8. Find the range of sin6θ + cos6θ for

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Solution :

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Q9. Find the range of for

Page 19: Trigonometry: Trigonometric range Assignment Solutions

Solution :

Page 20: Trigonometry: Trigonometric range Assignment Solutions

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Page 21: Trigonometry: Trigonometric range Assignment Solutions