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Maximum And Minimum Trigonometry Question And Answer Set 1

Maximum And Minimum Trigonometry Question And Answer Set 1

Hi students, welcome to Amans Maths Blogs (AMB). On this post, you will get the Maximum And Minimum Trigonometry Question And Answer Set 1. It will help you to practice the questions on the topics of maximum and minimum based trigonometric questions with answers.

Maximum And Minimum Trigonometry Question And Answer Set 1: Ques No 1

If a and b are the maximum and minimum values of 8cosA + 15sinA + 15 respectively, then the value of (a + b) is

Options:

A. 32

B. 30

C. 23

D. 41

Answer: B

Maximum And Minimum Trigonometry Question And Answer Set 1: Ques No 2

For what smallest values of k, such that the trigonometric expression 3sinA + 4cosA + k is always greater than or equal to 0?  

Options:

A. 5

B. -5

C. 7

D. -7

Answer: A

Maximum And Minimum Trigonometry Question And Answer Set 1: Ques No 3

The minimum value of (4tan2x + 9cot2x) / 2 is 

Options:

A. 6

B. -6

C. 12

D. -12

Answer: C

Maximum And Minimum Trigonometry Question And Answer Set 1: Ques No 4

The minimum value of (sin2 θ + cos2 θ + sec2 θ + cosec2 θ + tan2 θ + cot2 θ) is 

Options:

A. 1

B. 3

C. 5

D. 7

Answer: D

Maximum And Minimum Trigonometry Question And Answer Set 1: Ques No 5

The minimum value of (2 sin2 θ + 3 cos2 θ) is 

Options:

A. 1

B. 2

C. 3

D. 5

Answer: B

Maxima And Minima Trigonometry Question And Answer Set 1: Ques No 5

The sum of maximum and minimum values of sin(sinθ) is 

Options:

A. 0

B. 1

C. 2sin1

D. sin1

Answer: A

Maximum And Minimum Trigonometry Question And Answer Set 1: Ques No 6

The minimum value of sec2θ + cosec2θ is 

Options:

A. 0

B. 1

C. 4

D. 2

Answer: C

Maximum And Minimum Trigonometry Question And Answer Set 1: Ques No 6

The minimum value of 3sec2θ + 27cos2θ is 

Options:

A. 9

B. 18

C. 30

D. 24

Answer: B

Maxima And Minima Trigonometry Question And Answer Set 1: Ques No 7

The maximum value of sin3θ – cos3θ is 

Options:

A. 1/2

B. 1/3

C. 1/8

D. 1/37

Answer: C

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