How do you classify a triangle based on its angles?

A triangle can be classified as acute (all angles 90°).

What is the formula to find the length of a side in a right triangle using sine?

To find the length of the opposite side, use: $$\text{opposite} = \text{hypotenuse} \times \text{sin}(A)$$ .

What is the formula to find the length of a side in a right triangle using cosine?

To find the length of the adjacent side, use: $$\text{adjacent} = \text{hypotenuse} \times \text{cos}(A)$$ .

What is the formula to find the length of a side in a right triangle using tangent?

To find the length of the opposite side, use: $$\text{opposite} = \text{adjacent} \times \text{tan}(A)$$ .

How do you determine if three lengths can form a triangle?

The sum of the lengths of any two sides must be greater than the length of the third side (Triangle Inequality Theorem).

What is the formula for the area of a triangle?

The area (A) of a triangle can be calculated using: $$A = \frac{1}{2} \times \text{base} \times \text{height}$$ .

What is the sine rule in triangles?

The sine rule states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant. It can be expressed as: $$\frac{a}{\text{sin}(A)} = \frac{b}{\text{sin}(B)} = \frac{c}{\text{sin}(C)}$$ .

What is the cosine rule in triangles?

The cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles. It is expressed as: $$c^2 = a^2 + b^2 - 2ab \times \text{cos}(C)$$ .

Trig Review

Flashcard

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.C.6, HSF.TF.A.2, HSG.SRT.C.8

Standards-aligned

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FLASHCARD QUESTION

Front

What is the Pythagorean theorem?

Back

Tags

CCSS.8.G.B.8

FLASHCARD QUESTION

Front

Define sine (sin) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

Define cosine (cos) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

Define tangent (tan) in a right triangle.

Back

Tags

CCSS.HSG.SRT.C.6

FLASHCARD QUESTION

Front

What is the relationship between sine and cosecant?

Back

Tags

CCSS.HSF.TF.A.2

FLASHCARD QUESTION

Front

What is the relationship between cosine and secant?

Back

Tags

CCSS.HSF.TF.A.2

FLASHCARD QUESTION

Front

What is the relationship between tangent and cotangent?

Back

Tags

CCSS.HSG.SRT.C.6

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