Lesson 6: The Six Trigonometric Ratios

Question 1

A triangle with one right angle or with one interior angle of 90 degrees.

Answer 1

Right Triangle

Question 2

This is a branch of mathematics that deals with the relationships of the lengths and the angles of triangles.

Answer 2

Trigonometry

Question 3

This comes from the Greek word trigonon, which means “triangle,” and metron, which means “to measure.”

Answer 3

Trigonometry

Question 4

The longest side of the triangle; it is always opposite to the right angle.

Answer 4

Hypotenuse

Question 5

The side next to theta, θ, but not the hypotenuse.

Answer 5

Adjacent Side

Question 6

The opposite to theta, θ.

Answer 6

Opposite Side

Question 7

This is usually recalled as the SOH acronym, which implies that the sine ratio deals only with the opposite side and the hypotenuse.

Answer 7

Sine Ratio / Sine Function

Question 8

This is usually recalled as the CAH acronym which implies that cosine ratio deals only with adjacent side and the hypotenuse.

Answer 8

Cosine Ratio / Cosine Function

Question 9

This is usually recalled as the TOA acronym, which implies that the tangent ratio uses the opposite and adjacent sides.

Answer 9

Tangent Ratio / Tangent Function

Question 10

This is the reciprocal of the tangent ratio.

Answer 10

Contangent Ratio

Question 11

This is the reciprocal of the sine ratio.

Answer 11

Cosecant Ratio

Question 12

This is the reciprocal of the cosine tangent ratio.

Answer 12

Secant Ratio

Question 13

An isosceles right triangle, whose two sides are equal.

Answer 13

45-45-90

Question 14

A right, scalene trianngle whose ratios of hypotenuse, opposite, and adcent are 2:squareroot of 3:1.

Answer 14

30-60-90