# 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 sin^{2}A + sin^{2}B + sin^{2}C – 2cosAcosBcosC is

**Options:**

A. 1

B. 2

C. 3

D. 4

**Answer: B**