NDA || Mathematics || Trigonometry PYQ - Part III || Quiz

Consider the following statements :

1)  for all positive integers n ≥ 2.

2) If x is any positive real number, then nx > 1 for all positive integers n ≥ 2.

Which of the above statements is/are correct?

Consider the following statements :

1)

2)

Which of the above statements is/are correct?

Consider the following statements :

1) If 3θ is an acute angle such that sin 3θ = cos 2θ, then the measurement of θ in radian equals to .

2) One radian is the angle subtended at the centre of a circle by an arc of the same circle whose length is equal to the diameter of that circle.

Which of the above statements is/are correct?

Consider the following statements :

1) sin | x | + cos | x | is always positive.

2) sin(x²) + cos(x²) is always positive.

Which of the above statements is/are correct?

What is  equal to?

What is  equal to?

Consider the following statements :

1) Value of sin θ oscillates between -1 and 1

2) Value of cos θ oscillates between 0 and 1.

Which of the above statements is/are correct?

If x and y are positive and xy >1, then what is tan^-1 x + tan^-1 y equal to?

Consider the following statements :

1) There exists no triangle ABC for which sin A + sin B = sin C

2) If the angles of a triangle are in the ratio 1 : 2 : 3, then its sides will be in the ratio .

Which of the above statements is/are correct?

What is  equal to?