Important Questions of Trigonometric Functions Mathematics | Zigya

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311.

If the equation cos4θ + sin4θ + λ = 0 has real solutions for θ, then λ lies in interval :

  •  - 54, - 1

  •  - 1, - 12

  • - 12, - 14

  •  - 32, - 54


312.

The set of all possible values of θ in the interval (0, π) for which the points(1, 2) and (sin(θ), cos(θ)) lie on the same side of the line x + y = 1 is

  • 0, π2

  • 0, π4

  • π4, 3π4

  • 0, 3π4


313.

Solve L = sin2π16 -  sin2π8 andM = cos2π16 -  cos2π8

  • M = 142 + 14cosπ8

  • M = 122 + 12cosπ8

  • L =  - L = - 122 + 12cosπ8

  • L = 142 - 14cosπ8


314.

The angle of elevation of the summit of a mountain from a point on the ground is 45º. After climbing up one km towards the summitat an inclination of 30º from the ground, the angle of elevation of the summit is found to be 60º. Then the height (in km) of the summit from the ground is

  • 3 + 13 - 1

  • 13 + 1

  • 13 - 1

  • 3 - 13 + 1


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315.

If y = y = Acosnx + Bsinnx, then y2 + n2y is equal to

  • 0

  • 1

  • y

  • - 1


316.

If A, B, C, D are angles of a cyclic quadrilateral,then cosA + cosB + cosC + cosD is equal to

  • 0

  • 1

  • - 1

  • 4


317.

The equation 3sinx + cosx =4,has

  • only one solution

  • two solution

  • infinitely many solution

  • No solution


318.

The solution set of 5 + 4cosθ2cosθ + 1 = 0 in the interval 0, 2π, is :

  • π3, 2π3

  • π3, π

  • 2π3, 4π3

  • 2π3, 5π3


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319.

If tan3AtanA = a, then sin3AsinA is equal to

  • 2aa + 1

  • 2aa - 1

  • aa + 1

  • aa - 1


320.

If cos(A - B) = 3/5 and tan(A)tan(B) = 2, then which one of the following is true ?

  • sinA + B = 15

  • sinA + B = - 15

  • cosA - B = 15

  • cosA + B = - 15


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