Evaluate trig functions using a right triangle and given the sin

The video tutorial explains how to evaluate trigonometric functions using a right triangle. It begins with an introduction to the sine function and its relation to the triangle's sides. The instructor then describes the components of a right triangle and uses the Pythagorean theorem to calculate the cosine of an angle. The tutorial also covers reciprocal trigonometric functions, such as cosecant and secant, and demonstrates how to calculate tangent and cotangent, including rationalizing denominators. The session concludes with a recap of the six trigonometric functions and their relationships.

What is the first step in evaluating other trigonometric functions when given sine of an angle?

• Use the cosine function directly.

• Draw a right triangle and label the sides.

• Find the reciprocal of sine.

• Calculate the tangent of the angle.

In a right triangle, which side is opposite to the angle Theta?

• Base

• Hypotenuse

• Adjacent

• Opposite

How do you find the adjacent side of a right triangle if you know the hypotenuse and opposite side?

• Use the sine function.

• Apply the Pythagorean theorem.

• Multiply the hypotenuse by the opposite side.

• Subtract the opposite side from the hypotenuse.

What is the cosine of Theta if the adjacent side is sqrt(7) and the hypotenuse is 4?

• 4/sqrt(7)

• 7/4

• sqrt(7)/4

• 3/4

What is the reciprocal of the sine function called?

• Secant

• Cosecant

• Tangent

• Cotangent

Why do we rationalize the denominator when finding secant or tangent?

• To simplify the expression.

• To eliminate radicals from the denominator.

• To make the numerator a whole number.

• To convert the expression to a fraction.

What is the cotangent of Theta if tangent is 3√7/7?

• 7/3

• 3/√7

• √7/3

• 7/3√7