TRIGONOMETRIC IDENTITIES

• Pythagorean formula derivative for sines and Cosines.

• Identities of Negative angles. Cosine and secants are EVEN functions.

• Identities expressing trig functions in terms of their complements.

Tags

CCSS.HSF.TF.A.4

Complete the sum trigonometric identity

Sin (d + r ) =

Tags

CCSS.HSF.TF.C.9

What is the sine of an angle θ in a right triangle?

• Adjacent side over opposite side

• Hypotenuse over opposite side

• Opposite side over hypotenuse

• Adjacent side over hypotenuse

Tags

CCSS.HSG.SRT.C.6

Which of the following is a Pythagorean identity?

• secθ = 1 / cosθ

• sin²θ + cos²θ = 1

• tanθ = sinθ / cosθ

• cos(90° - θ) = sinθ

Tags

CCSS.HSF.TF.C.8

What is the value of cos(90° - θ)?

• sinθ

• cosθ

• cotθ

• tanθ

Tags

CCSS.HSF.TF.C.9

Which formula represents the double angle identity for cosine?

• cos(2θ) = 1 - 2sin²θ

• cos(2θ) = cos²θ - sin²θ

• All of the above

• cos(2θ) = 2cos²θ - 1

Tags

CCSS.HSF.TF.C.9

How do you calculate the area of a triangle using trigonometry?

• 1/2 * a * b * cos(C)

• 1/2 * a * b * sin(C)

• a * b * sin(C)

• a * b * cos(C)

Tags

CCSS.HSG.SRT.D.9