Conditional Trigonometric Identities Practice Questions Set 1
Hi students, welcome to Amans Maths Blogs (AMB). On this post, you will get the Conditional Trigonometric Identities Practice Questions Set 1 is the collection of some important questions. Practice these questions for SSC CAT exams etc. 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 Question 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 Question 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 Question 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 Question 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
Conditional Trigonometric Identities Practice Question Set 1: Ques No 8
If tanA + tanB+ tanC = 3√3, then the triangle
is
Options:
A. Right Angled Triangle
B. Obtuse Angled Triangle
C. Isosceles Triangle
D. Equilateral Triangle
Answer: D
Conditional Trigonometric Identities Practice Question Set 1: Ques No 9
In a triangle ABC, if sin3A + sin3B + sin3C = 0, then at least one of the angles is
Options:
A. 60 degree
B. 30 degree
C. 90 degree
D. 45 degree
Answer: A
Conditional Trigonometric Identities Practice Question Set 1: Ques No 10
In a triangle ABC, the value of (tanA + tanB + tanC)/(tanAtanBtanC) is
Options:
A. 0
B. 1
C. -2
D. -1
Answer: B