Calculating Angles with Trigonometric Functions

The video tutorial explains how to solve trigonometric problems using inverse functions. It covers calculating base angles, analyzing quadrants for angle signs, setting up calculators for angle approximation, and applying quadrant rules to find solutions. The tutorial also demonstrates using cosine inverse for angle calculation and emphasizes the importance of graphical representation for verifying solutions.

What is the main focus of the exercise introduced in the video?

• Finding angles using tangent

• Finding angles using cosine

• Finding angles using sine

• Finding angles using secant

When finding the base angle using the inverse tangent function, what should you ignore?

• The angle size

• The quadrant

• The calculator settings

• The sign of the value

What is the purpose of ignoring the sign when calculating the base angle?

• To simplify the calculation

• To ensure the angle is positive

• To avoid errors in measurement

• To determine the correct quadrant

What is the approximate value of tan inverse of three-quarters?

• 30 degrees

• 36 degrees

• 45 degrees

• 37 degrees

In which quadrants is the tangent function negative?

• First and second

• Second and third

• Third and fourth

• Second and fourth

What should you do if your calculator is not set to measure angles in degrees?

• Change it to gradients

• Change it to radians

• Change it to minutes

• Change it to degrees

How do you calculate the angle in the second quadrant when given a base angle?

• Add 90 to the base angle

• Add the base angle to 180

• Subtract the base angle from 180

• Subtract the base angle from 360

What is the base angle when the inverse cosine of 0.342 is calculated?

• 70 degrees

• 80 degrees

• 60 degrees

• 90 degrees

In which quadrants is the cosine function negative?

• First and second

• Second and third

• Third and fourth

• First and fourth

What is the angle in the third quadrant when the base angle is 70 degrees?

• 110 degrees

• 250 degrees

• 200 degrees

• 290 degrees