Finding Missing Angles Using Trig Ratios

Front

What is the sine ratio in a right triangle?

Back

The sine ratio is defined as the ratio of the length of the opposite side to the length of the hypotenuse. It is expressed as sin(θ) = opposite/hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

The cosine ratio is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. It is expressed as cos(θ) = adjacent/hypotenuse.

Front

What is the tangent ratio in a right triangle?

Back

The tangent ratio is defined as the ratio of the length of the opposite side to the length of the adjacent side. It is expressed as tan(θ) = opposite/adjacent.

Front

How do you find the measure of an angle using the sine ratio?

Back

To find the measure of an angle using the sine ratio, use the inverse sine function: θ = sin⁻¹(opposite/hypotenuse).

Front

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

Back

To find the measure of an angle using the cosine ratio, use the inverse cosine function: θ = cos⁻¹(adjacent/hypotenuse).

Front

How do you find the measure of an angle using the tangent ratio?

Back

To find the measure of an angle using the tangent ratio, use the inverse tangent function: θ = tan⁻¹(opposite/adjacent).

Front

What is the relationship between the angles in a right triangle?

Back

In a right triangle, the sum of the two non-right angles is always 90 degrees.

Front

If one angle in a right triangle is 30 degrees, what is the other non-right angle?

Back

The other non-right angle would be 60 degrees, since 90 - 30 = 60.

Front

What is the formula to find the missing angle in a right triangle?

Back

The formula is: Missing angle = 90 - known angle.

Front

What is the sine of 30 degrees?

Back

The sine of 30 degrees is 0.5.