Untitled Flashcards Set

What are the three basic trigonometric ratios?

Sine, Cosine, Tangent.

What does the mnemonic 'SOHCAHTOA' stand for?

Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent.

How do you calculate the sine of an angle in a right triangle?

Sine of an angle = length of opposite side / length of hypotenuse.

How do you calculate the cosine of an angle in a right triangle?

Cosine of an angle = length of adjacent side / length of hypotenuse.

How do you calculate the tangent of an angle in a right triangle?

Tangent of an angle = length of opposite side / length of adjacent side.

What is the relationship between the sine and cosine of complementary angles A and C?

Sine of A = Cosine of C and Cosine of A = Sine of C.

What is the sine of a 30-degree angle?

Sine of 30 degrees = 1/2.

What is the cosine of a 30-degree angle?

Cosine of 30 degrees = √3/2.

What is the tangent of a 30-degree angle?

Tangent of 30 degrees = 1/√3.

What is the purpose of inverse trigonometric functions?

They find the angle given a specific trigonometric ratio.

If the cosine of 63 degrees equals the sine of what angle?

The sine of 27 degrees.

How do you find the measure of an angle using the cosine value?

Use the inverse cosine function: angle = cos^(-1)(value).

What is the value of the sine of 34 degrees to two decimal places?

0.56.

What is the value of the cosine of 34 degrees to two decimal places?

0.83.

What is the value of the tangent of 34 degrees to two decimal places?

0.67.

In a right triangle, what does a tangent ratio relate?

Tangent = Opposite / Adjacent.

What is the process to use a calculator for trigonometric functions?

Set to degree mode, use the trigonometric function keys, and input the angle.

What are the two main applications of trigonometry?

Finding the size of an angle or finding the length of a side in a right triangle.