Right triangle trigonometry evaluate trig functions of a triangle

The video tutorial covers the basics of right-triangle trigonometry, including identifying triangle sides and calculating trigonometric functions such as sine, cosine, and tangent. It also introduces advanced functions like cosecant, secant, and cotangent. The Pythagorean theorem is used to find unknown sides, and the process of simplifying square roots is demonstrated. The tutorial concludes by verifying trigonometric functions for similar triangles, emphasizing the importance of understanding all triangle sides.

Which side of a right triangle is always opposite the right angle?

• Hypotenuse

• Opposite side

• Adjacent side

• Base

What is the reciprocal of the sine function called?

• Cotangent

• Tangent

• Cosecant

• Secant

If the hypotenuse of a right triangle is 5 and one leg is 3, what is the length of the other leg?

• 5

• 3

• 2

• 4

How can the square root of 32 be simplified?

• 4√2

• 2√8

• 8√2

• 16√2

If two triangles have sides in the ratio 1:2, what can be said about their trigonometric functions?

• They are complementary

• They are supplementary

• They are different

• They are the same