Topic: Chapter 3: Trigonometry (Test 2)

Topic: Chapter 3: Trigonometry
Q.1

A. sinA + sinB + sinC
B. 1
C. 0
D. cosA + cosB + cosC
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Q.2
If cos pθ + cos qθ = 0 and if p ≠ q, then θ is equal to (n is any integer)
A.
B.
C.
D.
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Q.3
If tanα and tanβ are the roots of x2 + ax + b = 0, then  is equal to
A. b/a
B. a/b
C. –a/b
D. –b/a
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Q.4
In a triangle ABC, sin2A + sin2B + sin2C = 2, then the triangle is
A. equilateral triangle
B. isosceles triangle
C. right triangle
D. scalene triangle
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Q.5
If f(θ) = |sin θ| + |cosθ| , θ R, then f(θ) is in the interval
A. [0, 2]
B. [1,√2]
C. [1, 2]
D. [0, 1]
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Q.6
cos 6x + 6 cos 4x + 15 cos 2x + 10 / cos 5x + 5 cos 3x + 10 cos x is equal to
A. cos2x
B. cos x
C. cos 3x
D. 2 cos x
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Q.7
The triangle of maximum area with constant perimeter 12m
A. is an equilateral triangle with side 4m
B. is an isosceles triangle with sides 2m, 5m, 5m
C. is a triangle with sides 3m, 4m, 5m
D. Does not exist
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Q.8
A wheel is spinning at 2 radians/second. How many seconds will it take to make 10 complete rotations?
A. 10π seconds
B. 20 π seconds
C. 5 π seconds
D. 15π seconds
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Q.9
If sinα + cosα = b, then sin 2α  is equal to
A. b2 - 1, if b ≤ √2
B. b2 - 1, if b > √2
C. b2 - 1, if b ≥ 1
D. b2 - 1, if b ≥√2
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Q.10

In a ∆ABC, if

(i) sin A/2 sin B/2 sin C/2> 0

(ii) sinAsinB sinC > 0 then
A. Both (i) and (ii) are true
B. Only (i) is true
C. Only (ii) is true
D. Neither (i) nor (ii) is true