Mathematics Tes...

What is the value of cos 36°?

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^-1x + tan^-1y equal to?

Consider the following statements:

1. \(n\left(\sin ^{2} 67 \frac{1^{\circ}}{2}-\sin ^{2} 22 \frac{1^{\circ}}{2}\right)>1\) for all positive integers \(n \geq 2\)

2. If \(x\) is any positive real number, then \(n x>1\) for all positive integers \(n \geq 2\) 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 toπ/10

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?

From an aeroplane above a straight road the angle of depression of two positions at a distance 20 m apart on the road are observed to be 30° and 45°. The height of the aeroplane above the ground is:

Consider the following statements:

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

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

Which of the above statements is/are correct?

Four points (0, 4, 1) (2, 3, -1) (4, 5, 0) (2, 6, 2) Which of the following are the vertices of the figure.

What is \(\frac{1+\sin A}{1-\sin A}-\frac{1-\sin A}{1+\sin A}\) equal to?

What is \(\frac{\cot 224^{\circ}-\cot 134^{\circ}}{\cot 226^{\circ}+\cot 316^{\circ}}\) equal to?