Trigonometry

Front

What is the definition of Trigonometry?

Back

Trigonometry is a branch of mathematics that studies the relationships between the angles and sides of triangles, particularly right triangles.

Tags

CCSS.HSG.SRT.C.7

Front

What is the formula for the sine of an angle?

Back

Sine (sin) of an angle = Opposite side / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for the cosine of an angle?

Back

Cosine (cos) of an angle = Adjacent side / Hypotenuse.

Tags

CCSS.HSG.SRT.C.6

Front

What is the formula for the tangent of an angle?

Back

Tangent (tan) of an angle = Opposite side / Adjacent side.

Tags

CCSS.HSG.SRT.C.6

Front

If sin(A) = 0.5, what is the angle A in degrees?

Back

A = 30 degrees.

Tags

CCSS.HSG.SRT.C.7

Front

If cos(B) = 0.6, what is the angle B in degrees?

Back

B = 53.1 degrees (approximately).

Tags

CCSS.HSG.SRT.C.7

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Tags

CCSS.8.G.B.8

Front

What is the value of tan(45 degrees)?

Back

tan(45 degrees) = 1.

Tags

CCSS.HSG.SRT.C.7

Front

How do you find the angle using the sine function?

Back

Use the inverse sine function: A = sin⁻¹(opposite/hypotenuse).

Tags

CCSS.HSG.SRT.C.8

Front

How do you find the angle using the cosine function?

Back

Use the inverse cosine function: A = cos⁻¹(adjacent/hypotenuse).

Tags

CCSS.HSG.SRT.C.8