Trigonometry and Calculator Functions

The video tutorial explains how to find the measure of an angle in a right triangle using trigonometry. It begins by identifying the sides of the triangle relative to the angle theta, then uses the tangent function to set up an equation. The tutorial demonstrates how to solve for theta by applying the inverse tangent function and provides step-by-step instructions for using a calculator to find the angle in degrees, rounded to the nearest hundredth. The final result is approximately 36.87 degrees.

What is the side opposite to angle theta in the given right triangle?

• The hypotenuse

• The side with length 6 units

• The side with unknown length

• The side with length 8 units

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

• Adjacent side

• None of the above

• Opposite side

• Hypotenuse

What trigonometric function relates the opposite and adjacent sides of a right triangle?

• Sine

• Tangent

• Cotangent

• Cosine

How do you simplify the ratio 6/8?

• 4/5

• 2/3

• 3/4

• 1/2

What is the inverse function used to find an angle from its tangent value?

• Inverse cotangent

• Inverse cosine

• Inverse tangent

• Inverse sine

Before calculating the angle, what mode should the calculator be in?

• Degree mode

• Radian mode

• Scientific mode

• Fraction mode

What key sequence is used to access the inverse tangent function on a calculator?

• Second, tangent

• Second, cosine

• Second, cotangent

• Second, sine

What is the approximate value of angle theta in degrees?

• 35.87 degrees

• 36.87 degrees

• 37.87 degrees

• 38.87 degrees

If the third decimal place is 9, what should you do to the second decimal place?

• Round down

• Round up

• Ignore it

• Leave it as is

What is the purpose of pressing 'second mode' on the calculator?

• To quit to the home screen

• To enter scientific mode

• To clear the calculator

• To switch to radian mode