60 Trignometry MCQs with Answers

Cotangent is defined as 1/tan θ or cos/sin.

The cosine of 0 degrees is exactly 1.

The angle whose cosine is 0.5 is 60 degrees.

By Pythagoras theorem: √(3² + 4²) = √25 = 5.

Sine and cosine are co-functions; sin(90-x) = cos x.

The standard value for the tangent of 30 degrees is 1/√3.

This is a rearranged version of the identity 1 + tan² θ = sec² θ.

This is the double-angle formula for the sine function.

The sine of 0 degrees is 0.

Due to complementary angles, the cosine of an angle equals the sine of its complement.

Since tan 45° = 1, its reciprocal cot 45° is also 1.

At 45°, both sine and cosine values are equal to 1/√2.

sec 60° = 1 / cos 60° = 1 / (1/2) = 2.

Cosine is the ratio of the Base (adjacent side) to the Hypotenuse.

The tangent of the complement of an angle is the cotangent of the angle.

csc 30° = 1 / sin 30° = 1 / (1/2) = 2.

The hypotenuse, opposite the 90° angle, is always the longest side.

The identity sin² θ + cos² θ = 1 applies to any angle, including 45°.

tan 0° = sin 0° / cos 0° = 0 / 1 = 0.

Cosine is the reciprocal of secant, so 1 / 2 = 0.5.

All three are valid forms of the double-angle formula for cosine.

On the unit circle, the y-coordinate at 180° is 0, so sin 180° = 0.

On the unit circle, the x-coordinate at 180° is -1, so cos 180° = -1.

Cotangent is the ratio of the adjacent side to the opposite side (cos/sin).

sec 45° = 1 / cos 45° = 1 / (1/√2) = √2.

It is the angle between the horizontal line of sight and the object above.

It is the angle between the horizontal line and the line of sight to an object below.

tan θ = Height / Shadow. If they are equal, tan θ = 1, so θ = 45°.

This is a rearranged version of the identity 1 + cot² θ = csc² θ.

In a 30-60-90 triangle, the opposite side to the 60° angle is √3/2 times the hypotenuse.

tan 180° = sin 180° / cos 180° = 0 / -1 = 0.

cos 0° = 1 and sin 0° = 0. Therefore, 1 + 0 = 1.

sec 0° = 1 / cos 0° = 1 / 1 = 1.

csc 90° = 1 / sin 90° = 1 / 1 = 1.

The sine function reaches its peak of 1 at 90 degrees.

The cosine function reaches its minimum of -1 at 180 degrees.

Sine is an odd function, meaning sin(-x) = -sin(x).

Cosine is an even function, meaning cos(-x) = cos(x).

tan 360° is periodic and equivalent to tan 0°, which is 0.

Since sin 30° = 1/2, squaring it gives (1/2)² = 1/4.