Trigonometric Functions and Theorems

This video tutorial teaches how to solve right triangles by finding all missing angles and sides. It covers the use of trigonometric functions like sine, cosine, and tangent, as well as the Pythagorean theorem. The video includes examples with given angles and sides, and provides practice problems for further learning. Additional resources for algebra and trigonometry are also mentioned.

What is the sum of all angles in a triangle?

• 270 degrees

• 180 degrees

• 360 degrees

• 90 degrees

In a right triangle, what is the sum of the two acute angles?

• 45 degrees

• 90 degrees

• 135 degrees

• 180 degrees

Which trigonometric function relates the opposite side and adjacent side in a right triangle?

• Tangent

• Cosine

• Sine

• Secant

If angle A is 27 degrees in a right triangle, what is angle B?

• 83 degrees

• 73 degrees

• 53 degrees

• 63 degrees

What is the tangent of 27 degrees equal to in terms of sides?

• Adjacent/Opposite

• Opposite/Adjacent

• Hypotenuse/Opposite

• Opposite/Hypotenuse

How do you find a missing side using the tangent function?

• Multiply by tangent

• Divide by tangent

• Add tangent

• Subtract tangent

What is the sine of an angle equal to in a right triangle?

• Opposite/Adjacent

• Adjacent/Hypotenuse

• Opposite/Hypotenuse

• Hypotenuse/Opposite

What is the Pythagorean theorem formula?

• a^2 + b^2 = c

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a + b = c^2

If two sides of a right triangle are 8 and 13, what is the third side using the Pythagorean theorem?

• 15

• 5

• 12

• 10.25

Which trigonometric function is used to find an angle when given opposite and hypotenuse?

• Sine

• Cosine

• Tangent

• Cosecant