Trigonometry and Geometry Concepts

This video tutorial covers the basics of trigonometry, focusing on labeling the sides of a right triangle and understanding the sine, cosine, and tangent ratios. It provides examples of solving for missing sides and angles using these ratios, including the use of inverse trigonometric functions. The tutorial also explores more complex problems involving multiple triangles and emphasizes the importance of accurate calculations.

What is the longest side of a right angle triangle called?

• Opposite

• Base

• Adjacent

• Hypotenuse

Which side is opposite to the angle marked in a right angle triangle?

• Base

• Adjacent

• Opposite

• Hypotenuse

What is the correct abbreviation for the trigonometric function 'sine'?

• S

• Sino

• Sine

• Sin

Which trigonometric ratio is defined as opposite over hypotenuse?

• Cosine

• Tangent

• Sine

• Secant

If the hypotenuse is 6 cm and the angle is 39°, what is the length of the opposite side?

• 5.2 cm

• 3.78 cm

• 4.5 cm

• 6.1 cm

In a right angle triangle, if the hypotenuse is 9 cm and the angle is 53°, what is the length of the adjacent side?

• 8.3 cm

• 6.5 cm

• 5.42 cm

• 7.1 cm

Which trigonometric ratio is defined as opposite over adjacent?

• Tangent

• Cotangent

• Sine

• Cosine

If the opposite side is 27 and the angle is 28°, what is the length of the adjacent side?

• 35.9

• 40.2

• 45.6

• 50.8

How do you find an angle using the inverse cosine function?

• Use the inverse cosine of the adjacent over hypotenuse

• Divide the opposite by the hypotenuse

• Subtract the hypotenuse from the adjacent

• Multiply the adjacent by the hypotenuse

What is the value of angle X if cos(X) = 8/14?

• 55.2°

• 45.3°

• 60.1°

• 50.4°