Sum Difference Double Half Angle Trig Formulas

Front

What is the formula for sin(u - v)?

Back

sin(u - v) = (sinu)(cosv) - (cosu)(sinv)

Front

What is the formula for tan(u - v)?

Back

tan(u - v) = (tanu - tanv) / (1 + (tanu)(tanv))

Front

What is the formula for cos(u - v)?

Back

cos(u - v) = (cosu)(cosv) + (sinu)(sinv)

Front

What is the formula for sin(u + v)?

Back

sin(u + v) = (sinu)(cosv) + (cosu)(sinv)

Front

What is the formula for tan(u + v)?

Back

tan(u + v) = (tanu + tanv) / (1 - (tanu)(tanv))

Front

What is the formula for cos(u + v)?

Back

cos(u + v) = (cosu)(cosv) - (sinu)(sinv)

Front

Define the term 'Double Angle Formula' in trigonometry.

Back

Double Angle Formulas express trigonometric functions of double angles (2u) in terms of single angles (u). For example, sin(2u) = 2sin(u)cos(u).

Front

What is the Half Angle Formula for sine?

Back

sin(u/2) = ±√((1 - cos(u))/2) depending on the quadrant.

Front

What is the Half Angle Formula for cosine?

Back

cos(u/2) = ±√((1 + cos(u))/2) depending on the quadrant.

Front

What is the relationship between sine and cosine in the context of the unit circle?

Back

On the unit circle, sin(θ) is the y-coordinate and cos(θ) is the x-coordinate of the point corresponding to the angle θ.