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Conditional Trigonometric Identities Practice Questions Set 1

Conditional Trigonometric Identities Practice Questions Set 1

Hi students, welcome to Amans Maths Blogs (AMB). On this post, you will get the Conditional Trigonometric Practice Questions Set 1. It will help you to practice the questions on the topics of conditional trigonometric identities based questions with answers.

Conditional Trigonometric Identities Practice Questions Set 1: Ques No 1

If A, B and C are the angles of a triangle, then which of the following is true?

Options:

A. cotA – cotB – cotC = cotAcotBcotC

B. tanA + tanB + tanC = tanAtanBtanC

C. tanA – tanB – tanC = tanAtanBtanC

D. cotA + cotB + cotC = cotAcotBcotC

Answer: B

Conditional Trigonometric Identities Practice Questions Set 1: Ques No 2

If A, B and C are the angles of a triangle, then the value of tan(A/2)tan(B/2) + tan(B/2)tan(C/2) + tan(C/2)tan(A/2) is

Options:

A. 0

B. -1

C. 2

D. 1

Answer: D

Conditional Trigonometric Identities Practice Questions Set 1: Ques No 3

If A, B and C are the angles of a triangle, then which of the following is true?

Options:

A. cot(A/2) + cot(B/2) + cot(C/2) = cot(A/2)cot(B/2)cot(C/2)

B. tan(A/2) + tan(B/2) + tan(C/2) = tan(A/2)tan(B/2)tan(C/2)

C. cos(A/2) + cos(B/2) + cos(C/2) = cos(A/2)cos(B/2)cos(C/2)

D. None of these

Answer: A

Conditional Trigonometric Identities Practice Questions Set 1: Ques No 4

If A, B and C are the angles of a triangle, then the value of cotAcotB + cotBcotC + cotCcotA is

Options:

A. 1

B. -1

C. 0

D. None of these

Answer: A

Conditional Trigonometric Identities Practice Questions Set 1: Ques No 5

If A, B and C are the angles of a triangle and sinA + sinB + sinC = kcos(A/2)cos(B/2)cos(C/2), then the value of k is

Options:

A. 1

B. 2

C. 3

D. 4

Answer: D

Conditional Trigonometric Identities Practice Questions Set 1: Ques No 6

If A, B and C are the angles of a triangle, then the value of cos2A + cos2B + cos2C + 4cosAcosBcosC is

Options:

A. 1

B. -1

C. 0

D. None of these

Answer: B

Conditional Trigonometric Identities Practice Questions Set 1: Ques No 7

If A, B and C are the angles of a triangle, then the value of sin2A + sin2B + sin2C – 2cosAcosBcosC is

Options:

A. 1

B. 2

C. 3

D. 4

Answer: B

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