Trigonometric Functions and Equations

The video tutorial covers trigonometric functions related to triangles, focusing on sine, cosine, and tangent ratios. The teacher plans to review section 4.3 in the next class and explains the sides of a triangle: hypotenuse, adjacent, and opposite. The lesson demonstrates solving for a missing side using the tangent function, emphasizing the importance of ensuring the calculator is in degree mode. The final calculation yields the length of the missing side as 18.48.

What will the teacher do in the next class period?

• Review the answers from 4.3

• Introduce a new topic

• Discuss 4.2 in detail

• Give a pop quiz

What is the angle called that is between theta and the 90-degree angle?

• Complementary angle

• Hypotenuse

• Opposite side

• Adjacent side

What is the hypotenuse in a right triangle?

• The side opposite the right angle

• The side adjacent to the right angle

• The side opposite the given angle

• The side adjacent to the given angle

What is the ratio for sine in a right triangle?

• Adjacent over hypotenuse

• Opposite over hypotenuse

• Opposite over adjacent

• Hypotenuse over adjacent

Which trigonometric function should be used if you have the opposite and adjacent sides?

• Secant

• Tangent

• Cosine

• Sine

What is the cosine of an angle defined as?

• Opposite over hypotenuse

• Adjacent over hypotenuse

• Opposite over adjacent

• Hypotenuse over opposite

What is the tangent of 60 degrees equal to in the given problem?

• x over 32

• 32 over x

• 32 plus x

• x times 32

What is the first step to solve for x in the equation involving tangent?

• Multiply by the reciprocal of x

• Subtract x from both sides

• Add x to both sides

• Divide by 32

What should you ensure about your calculator mode before evaluating the final answer?

• It is in scientific mode

• It is in degrees

• It is in standard mode

• It is in radians

What is the final value of x after solving the equation?

• 30

• 18.48

• 60

• 32