Finding Missing Angles with Inverse Trigonometry

This video tutorial, part 3 of a trigonometry series, focuses on finding missing angles in right triangles using trigonometric ratios. It explains how to use the sine, cosine, and tangent ratios, including their inverses, to calculate angles when given side lengths. The video provides step-by-step examples and encourages viewers to practice with additional questions. It also highlights the importance of ensuring the calculator is set to degrees mode. The tutorial concludes with a call to action for viewers to engage with the content and explore further parts of the series.

What trigonometric ratio is used when we have the opposite side and the hypotenuse?

• Cotangent

• Sine

• Tangent

• Cosine

How do you find the angle if you know the sine value?

• Add to the adjacent side

• Divide by the opposite side

• Multiply by the hypotenuse

• Use the inverse sine function

What is the value of theta when the opposite side is 2 cm and the hypotenuse is 7 cm?

• 16.6 degrees

• 14.5 degrees

• 18.2 degrees

• 12.3 degrees

Which ratio is used when you have the adjacent side and the hypotenuse?

• Secant

• Tangent

• Cosine

• Sine

What is the approximate value of theta for a triangle with adjacent side 7 cm and hypotenuse 9 cm?

• 42.1 degrees

• 38.9 degrees

• 35.7 degrees

• 45.0 degrees

For a triangle with opposite side 14 cm and adjacent side 11 cm, what is the value of theta?

• 56.3 degrees

• 51.8 degrees

• 48.5 degrees

• 60.0 degrees

What trigonometric ratio is used when both the opposite and adjacent sides are known?

• Sine

• Cosecant

• Cosine

• Tangent

Which function on the calculator is used to find the angle from a known tangent ratio?

• Inverse secant

• Inverse cosine

• Inverse sine

• Inverse tangent

What is the rounded value of the angle that measures approximately 34.85 degrees?

• 34.8 degrees

• 35.0 degrees

• 34.9 degrees

• 34.5 degrees

If a triangle's angles are found to be approximately 55.15 degrees, what is the rounded value?

• 54.9 degrees

• 55.0 degrees

• 55.2 degrees

• 55.1 degrees