# Multiple And Submultiple Angles Question and Answer Set 1

Hi students, welcome to **Amans Maths Blogs (AMB)**. On this post, you will get the Multiple And Submultiple Angles Question and Answer Set 1 is the collection of some important questions. Practice these questions for SSC CGL CAT exams etc. It will help you to practice the questions on the topics of multiple and submultiple angles trigonometric functions based questions with answers.

**Multiple And Submultiple Angles Question and Answer Set 1: Ques No 1**

The value of sin (67.5^{0}) is

**Options:**

A. 1/2√2

B. 1/√3

C. √(2 – √2) / 2

D. √(2 + √2) / 2

**Answer: C**

**Multiple And Submultiple Angles Question and Answer Set 1: Ques No 2**

The value of sin12^{0}sin48^{0}sin 54^{0} is

**Options:**

A. 1/2√2

B. 1/4

C. 1/2√3

D. 1/8

**Answer: D**

**Multiple And Submultiple Angles Question and Answer Set 1: Ques No 3**

The value of (sin^{2}24° – sin^{2}26°)(sin^{2}42° – sin^{2}12°) is

**Options:**

A. 1/16

B. 1/4

C. 1/12

D. 1/8

**Answer: A**

**Multiple And Submultiple Angles Question and Answer Set 1: Ques No 4**

The value of tan (7.5)^{0} is

**Options:**

A. √6 – √4 – √3 + √2

B. √6 – √4 + √3 – √2

C. √6 + √4 – √3 – √2

D. √6 + √4 + √3 + √2

**Answer: A**

**Multiple And Submultiple Angles Question and Answer Set 1: Ques No 5**

The value of 1 + tan(x)tan(x/2) is

**Options:**

A. sinx

B. cosx

C. cosecx

D. secx

**Answer: D**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 5**

The value of 1 + tan(x)tan(x/2) is

**Options:**

A. sinx

B. cosx

C. cosecx

D. secx

**Answer: D**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 6**

If 4 sin^{3}(x)cos(3x) + 4cos^{3}(x) sin(3x) = msin(kx), then the value of (m + k) is

**Options:**

A. 0

B. 5

C. 7

D. -3

**Answer: C**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 7**

The value of cos^{2}(Pi/8) + cos^{2}(3Pi/8) + cos^{2}(5Pi/8) + cos^{2}(7Pi/8) is

**Options:**

A. 2

B. 1

C. 0

D. 3

**Answer: A**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 8**

The value of cos20^{0}cos40^{0}cos80^{0} is

**Options:**

A. 1/16

B. 1/4

C. 1/12

D. 1/8

**Answer: D**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 9**

If cos(x) = 1/3 and 3Pi/2 < x < 2Pi in quadrant IV, then the value of sin(4x) is

**Options:**

A. 8 √2 / 3

B. -8 √2 / 3

C. – 56 √2 / 243

D. 56 √2 / 81

**Answer: D**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 10**

If (a + b + c)(tanA/2 + tanB/2) is

**Options:**

A. 2c cot C/2

B. c cot C/2

C. 3c cot C/2

D. 4c cot C/2

**Answer: A**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 11**

In a triangle ABC, if A = 60 degree, then the value of (1 + a/c + b/c)(1 + c/b – a/b)

**Options:**

A. 1

B. 2

C. 3

D. 4

**Answer: C**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 12**

The value of cotA/2 + cotB/2 + cotC/2 is

**Options:**

A. ∆/s^{2}

B. s^{3}/∆

C. s/∆

D. s^{2}/∆

**Answer: D**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 13**

The value of (a^{2}/sinA + b^{2}/sinB + c^{2}/sinC)/(sinAsinBsinC) is

**Options:**

A. ∆

B. s

C. r

D. R

**Answer: A**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 14**

In triangle ABC, tanA/2 = 5/6, tanC/2 = 2/5, then the relation between a, b, and c is

**Options:**

A. b^{2} = ac

B. 2b = a + c

C. 2ac = b(a + c)

D. a + b = c

**Answer: B**

**Multiple And Submultiple Angles Questions and Answer Set 1: Ques No 15**

In triangle ABC, if s = 2b, then the value of cot A/2 cot C/2 is

**Options:**

A. 2

B. 1

C. 3

D. Sqrt(2)

**Answer: A**