What is the value of sin 90°?

The sine of 90° is 1 because it is the y-coordinate of the point at 90° on the unit circle.

What is the value of \(\sin^2 \theta + \cos^2 \theta\)?

This is a fundamental trigonometric identity: \(\sin^2 \theta + \cos^2 \theta = 1\).

What is the value of cos 0°?

The cosine of 0° is 1 because it is the x-coordinate of the point at 0° on the unit circle.

The value of \(\tan 45°\) is:

The tangent of 45° is 1 because in a 45-45-90 triangle, the opposite and adjacent sides are equal.

If \(\sec \theta = 2\), then \(\cos \theta =\) ?

Since \(\sec \theta = \frac{1}{\cos \theta}\), if \(\sec \theta = 2\), then \(\cos \theta = \frac{1}{2}\).

The value of \(\sin 30° + \cos 60°\) is:

\(\sin 30° = \frac{1}{2}\) and \(\cos 60° = \frac{1}{2}\), so \(\sin 30° + \cos 60° = \frac{1}{2} + \frac{1}{2} = 1\).

What is the reciprocal of sin θ?

The reciprocal of \(\sin \theta\) is \(\csc \theta\).

The value of \(\cot 30°\) is:

The cotangent of 30° is \(\sqrt{3}\) because \(\cot \theta = \frac{\cos \theta}{\sin \theta}\).

If \(\sin \theta = \cos \theta\), then \(\theta\) is:

\(\sin \theta = \cos \theta\) when \(\theta = 45°\).

What is sec 60°?

The secant of 60° is \(2/\sqrt{3}\) because \(\sec \theta = \frac{1}{\cos \theta}\) and \(\cos 60° = \frac{1}{2}\).

The value of \(\tan(90° - \theta)\) is:

\(\tan(90° - \theta) = \cot \theta\) because \(\tan(90° - \theta) = \frac{\cos \theta}{\sin \theta} = \cot \theta\).

The value of \(\sec^2 \theta - \tan^2 \theta\) is:

This is a fundamental trigonometric identity: \(\sec^2 \theta - \tan^2 \theta = 1\).

In a right triangle, the side opposite to the right angle is called:

The side opposite to the right angle in a right triangle is called the hypotenuse.

The value of \(\sin \frac{\pi}{6}\) is:

The sine of \(\frac{\pi}{6}\) radians (30°) is \(\frac{1}{2}\).

The value of \(\csc 30°\) is:

The cosecant of 30° is 2 because \(\csc \theta = \frac{1}{\sin \theta}\) and \(\sin 30° = \frac{1}{2}\).

What is the value of sin 30°?

The sine of 30° is \(\frac{1}{2}\).

The value of \(\tan \frac{\pi}{4}\) is:

The tangent of \(\frac{\pi}{4}\) radians (45°) is 1.

The value of \(\sin 45° \cos 45°\) is:

\(\sin 45° = \cos 45° = \frac{\sqrt{2}}{2}\), so \(\sin 45° \cos 45° = \frac{\sqrt{2}}{2} \times \frac{\sqrt{2}}{2} = \frac{2}{4} = \frac{1}{2}\).

In right triangle ABC, if angle B is 90° and angle A = 60°, then angle C = ?

In a triangle, the sum of angles is 180°. Given angle B is 90° and angle A is 60°, angle C must be \(180° - 90° - 60° = 30°\).

What is the unit of angle in trigonometry?

In trigonometry, angles can be measured in both radians and degrees.

The value of \(\sin 60°\) is:

The sine of 60° is \(\frac{\sqrt{3}}{2}\).

The value of \(\cos 90°\) is:

The cosine of 90° is 0 because it is the x-coordinate of the point at 90° on the unit circle.

In a triangle, sum of all angles is:

The sum of all angles in a triangle is always 180°.

The value of \(\tan 60°\) is:

The tangent of 60° is \(\sqrt{3}\).

Angle greater than 90° but less than 180° is called:

An angle greater than 90° but less than 180° is called an obtuse angle.