Ch 10 Flashcards
What are allied angles?
Angles of measure 90° ± , 180°, 270° + ., 360° ± 0
What is the formula for cos(a - B)?
cos a cos B + sin a sin B
What is the identity for sin(90° - θ)?
cos θ
What is the identity for cos(90° - θ)?
sin θ
Fill in the blank: tan(θ - φ) = _______.
tan θ - tan φ / (1 + tan θ tan φ)
What is the identity for sin(θ + φ)?
sin θ cos φ + cos θ sin φ
What is the identity for cos(θ + φ)?
cos θ cos φ - sin θ sin φ
What is the relationship between sin(2θ) and sin θ?
sin(2θ) = 2 sin θ cos θ
True or False: tan(2θ) = 2 tan θ / (1 - tan² θ).
True
What is the identity for tan(θ + φ)?
tan θ + tan φ / (1 - tan θ tan φ)
What is the identity for sin(2θ + φ)?
sin(2θ) cos φ + cos(2θ) sin φ
What is the identity for cos(2θ + φ)?
cos(2θ) cos φ - sin(2θ) sin φ
Fill in the blank: sin(2θ - φ) = _______.
sin(2θ) cos φ - cos(2θ) sin φ
What is the identity for tan(2θ)?
2 tan θ / (1 - tan² θ)
What is the relationship between sin(θ) and cos(θ)?
sin² θ + cos² θ = 1
What is the identity for cos(2θ)?
cos² θ - sin² θ
What is the identity for sin(θ - φ)?
sin θ cos φ - cos θ sin φ
Fill in the blank: cos(2θ - φ) = _______.
cos(2θ) cos φ + sin(2θ) sin φ
