Finding missing sides using trig ratio

Front

What is the tangent ratio in a right triangle?

Back

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

Front

When would you use the sine ratio?

Back

You would use the sine ratio when you have the length of the opposite side and the hypotenuse. It is defined as sin(θ) = opposite/hypotenuse.

Front

What is the cosine ratio in a right triangle?

Back

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

Front

What is the cosecant ratio?

Back

The cosecant ratio is the reciprocal of the sine ratio. It is defined as csc(θ) = 1/sin(θ) = hypotenuse/opposite.

Front

What is the secant ratio?

Back

The secant ratio is the reciprocal of the cosine ratio. It is defined as sec(θ) = 1/cos(θ) = hypotenuse/adjacent.

Front

What is the cotangent ratio?

Back

The cotangent ratio is the reciprocal of the tangent ratio. It is defined as cot(θ) = 1/tan(θ) = adjacent/opposite.

Front

How do you find a missing side using the tangent ratio?

Back

To find a missing side using the tangent ratio, set up the equation tan(θ) = opposite/adjacent and solve for the unknown side.

Front

How do you find a missing side using the sine ratio?

Back

To find a missing side using the sine ratio, set up the equation sin(θ) = opposite/hypotenuse and solve for the unknown side.

Front

How do you find a missing side using the cosine ratio?

Back

To find a missing side using the cosine ratio, set up the equation cos(θ) = adjacent/hypotenuse and solve for the unknown side.

Front

What is the relationship between sine, cosine, and tangent?

Back

The relationship is given by the identity: tan(θ) = sin(θ)/cos(θ). This shows how these ratios are interconnected.