Trigonometric Functions and Applications

The video tutorial explains how to solve for missing side lengths in right triangles using trigonometric functions: sine, cosine, and tangent. It covers scenarios where the unknown side is either in the numerator or denominator of the trigonometric ratio, demonstrating the process with examples and calculator usage. The tutorial emphasizes understanding the relationship between angles and sides in right triangles and provides step-by-step guidance for solving these problems.

What is the primary focus of this video tutorial?

• Solving quadratic equations

• Calculating area of triangles

• Finding missing angles in triangles

• Finding missing side lengths in right triangles using trigonometry

Which trigonometric function is used when you know the hypotenuse and need to find the opposite side?

• Secant

• Tangent

• Sine

• Cosine

If the angle is 28 degrees and the hypotenuse is 19, what is the formula to find the opposite side using sine?

• tan(28) = x/19

• cos(28) = x/19

• sin(28) = x/19

• sec(28) = x/19

What is the value of x when you calculate 19 * sin(28)?

• 7.91

• 9.81

• 10.91

• 8.91

Which trigonometric function is used when you know the adjacent side and need to find the opposite side?

• Cosecant

• Tangent

• Sine

• Cosine

If the angle is 41 degrees and the adjacent side is 32, what is the formula to find the opposite side using tangent?

• sec(41) = x/32

• tan(41) = x/32

• cos(41) = x/32

• sin(41) = x/32

What is the value of x when you calculate 32 * tan(41)?

• 28.72

• 26.82

• 27.82

• 29.82

Which trigonometric function is used when you know the hypotenuse and need to find the adjacent side?

• Tangent

• Cotangent

• Sine

• Cosine

If the angle is 21 degrees and the hypotenuse is 26, what is the formula to find the adjacent side using cosine?

• cos(21) = x/26

• sec(21) = x/26

• sin(21) = x/26

• tan(21) = x/26

What is the value of x when you calculate 26 * cos(21)?

• 22.27

• 24.27

• 25.27

• 23.27