Trigonometry Problem Solving Steps

The video tutorial introduces trigonometry concepts to find unknown sides of triangles using tangent and sine functions. It explains how to label triangle sides as opposite, adjacent, and hypotenuse, and demonstrates solving problems by applying trigonometric functions and cross-multiplying. Additional resources and support options are provided for further learning.

What is the first step when using trigonometry to find a side of a triangle?

• Find the perimeter of the triangle

• Label the sides of the triangle

• Calculate the area of the triangle

• Measure the angles of the triangle

What is the purpose of labeling the triangle with opposite, adjacent, and hypotenuse?

• To find the area

• To identify which trigonometric function to use

• To measure the angles

• To calculate the perimeter

Which sides are involved when using the tangent function?

• Adjacent and hypotenuse

• All three sides

• Opposite and hypotenuse

• Opposite and adjacent

Which function is used when you know the opposite and adjacent sides?

• Cosecant

• Tangent

• Cosine

• Sine

If the angle is 82 degrees and the adjacent side is 92, what is the formula to find the opposite side using tangent?

• tan(82) = 92 / x

• tan(82) = x / 92

• tan(82) = x * 92

• tan(82) = 92 * x

After setting up the equation using tangent, what is the next step to find the missing side?

• Add the sides together

• Divide the sides

• Cross multiply

• Subtract the sides

What is the result of cross-multiplying in the tangent problem?

• x = 92 / tan(82)

• x = tan(82) / 92

• x = tan(82) * 92

• x = 92 * tan(82)

What is the function used when the hypotenuse and opposite sides are involved?

• Secant

• Sine

• Tangent

• Cosine

In the new problem, if the hypotenuse is 5.3, what is the formula to find the opposite side using sine?

• sin(M) = x * 5.3

• sin(M) = 5.3 / x

• sin(M) = x / 5.3

• sin(M) = 5.3 * x

What should you do after setting up the equation using sine to find the missing side?

• Subtract the sides

• Divide the sides

• Add the sides together

• Cross multiply