Important Questions of Trigonometric Functions Mathematics | Zigya

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31.

The maximum value of sinx + π5 + cosx + π5, where x  0, π2, is attained at :

  • π20

  • π15

  • π10

  • π2


32.

What is the period of the function f(x) = sin(x) ?

  • π4

  • π2

  • π

  • 2π


33.

What is 2tanθ1 + tan2θ = ?

  • cos2θ

  • tan2θ

  • sin2θ

  • cosec2θ


34.

If A + B + C = 180°, then what is sin(2A) - sin(2B) - sin(2C) equal to ?

  •  - 4sinAsinBsinC

  • - 4cos(A)sin(B)cos(C)

  •  - cosAcosBsinC

  •  - sinAcosBcosC


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35.

A balloon is directly above one end of a bridge. The angle of depression of the other end of the bridge from the balloon is 48°. If the height of the balloon above the bridge is 122 m, then what is the length of the bridge ?

  • 122sin48° m

  • 122tan42° m

  • 122cos48° m

  • 122tan48° m


36.

A is an angle in the fourth quadrant. If satisfies the trigonometric equation 3(3 - tan2(A) - cot(A))2 = 1.

Which one of the following is a value of A?

  • 300°

  • 315°

  • 330°

  • 345°


37.

What is/are the solution(s) of the trigonometric equationcosec(x) + cot(x) = 3, where 0 < x < 2π ? 

  • 5π3 only

  • π3 only

  • π only

  • π, π3, 5π3


38.

If θ = π8, then what is the value of 2cosθ + 1102cos2θ - 1102cosθ - 1102cos4θ - 110 ?

  • 0

  • 1

  • 2

  • 4


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39.

If A = sin2θ + cos4θ, then for all real θ, which one of the following is correct ?

  • 1  A  2

  • 34  A  1

  • 1316  A  1

  • 34  A  1316


40.

If sinA = 35, where 450° < A < 540°, then cosA2 = ?

  • 110

  •  - 310

  • 310

  • None of the above


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