Trigonometric Functions in Right Triangles

The video tutorial introduces right triangles, focusing on the 90-degree angle and its components: adjacent, opposite, and hypotenuse. It explains the role of angle Theta in identifying side lengths and introduces trigonometric functions like sine, cosine, and tangent for solving missing side lengths. A practical example is provided, demonstrating how to use the cosine function to find a missing side length, concluding with a summary of the problem-solving process.

What is the measure of the angle in a right triangle that is always 90°?

• Straight angle

• Right angle

• Acute angle

• Obtuse angle

In a right triangle, what do we call the side opposite the right angle?

• Base

• Hypotenuse

• Adjacent side

• Opposite side

Which side of a right triangle is opposite to angle Theta?

• Base

• Adjacent side

• Opposite side

• Hypotenuse

What is the function used to find the ratio of the opposite side to the hypotenuse?

• Secant

• Cosine

• Sine

• Tangent

Which trigonometric function is used when you know the adjacent side and hypotenuse?

• Cotangent

• Tangent

• Cosine

• Sine

If the angle Theta is 15° and the hypotenuse is 10, which function helps find the adjacent side?

• Secant

• Tangent

• Cosine

• Sine

What is the value of cosine 15° approximately?

• 0.65

• 0.85

• 0.97

• 0.75

How do you isolate the variable X when it is divided by 10?

• Divide by 10

• Subtract 10

• Add 10

• Multiply by 10

What is the final value of X if cosine 15° is approximately 0.97 and the hypotenuse is 10?

• 6.7

• 7.7

• 8.7

• 9.7