Trigonometric ldentities and Equations Test

Result

Trigonometric ldentities and Equations Test - 6

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Weekly Quiz Competition

Question 1
4 / -1

In ∆ABC, if sin² A + sin² B + sin² C = 2, then the triangle is

A
right angle but need not be isosceles

B
right angled and isosceles

C
isosceles but need not be right angled

D
equilateral

Solution
Question 2
4 / -1

The maximum value of 4sin²χ - 12 sinχ + 7 is

A
25

B
4

C
does not exist

D
None of these

Solution
Question 3
4 / -1

If A + B + C = π, then sin 2A + sin 2B + sin 2C is equal to

A
4 sin A sin B sin C

B
4 cos A cos B cos C

C
2 cos A cos B cos C

D
2 sin A sin B sin C

Solution
Question 4
4 / -1

The minimum value of f(χ) = sin⁴ χ + cos⁴ χ , 0 ≤ χ ≤ π/2 is

A
1/2√2

B
1/4

C
-1/2

D
1/2

Solution
Question 5
4 / -1

The maximum value of the function 3 cos χ - 4 sin χ is

A
2

B
3

C
4

D
5

Solution
Question 6
4 / -1

For all values of θ, the value of 3 - cos θ + cos (θ + π/3) lies in the interval

A
[-2 , 3]

B
[-2 , 1]

C
[2 , 4]

D
[1 , 5]

Solution
Question 7
4 / -1

If A + B = C, then cos² A + cos² B + cos² C - 2 cos A cos B cos C is equal to

A
1

B
2

C
0

D
3

Solution
Question 8
4 / -1

The curve represented by
χ = a (sinh θ + cos h θ)
y = b (-sinh θ + cosh θ) is

A
a hyperbola

B
a parabola

C
an ellipse

D
a circle

Solution
Question 9
4 / -1

If sinh^-1 (2) + sinh^-1 (3) = χ, the cosh χ is equal to

A

B

C

D

Solution
Question 10
4 / -1

A
e^-χ

B
e^χ

C
2ee^-χ/2

D
2e^-χ/2

Solution