Trigonometric Functions

What is

180^o degrees

in radians?

π radians

What is

1 radian

in degrees?

How do you convert from degrees to radians?

• multiply by π/180^o

How do you convert from radians to degrees?

• multiply by 180/π

Sketch the trigonometric function

y = Sinx

Sketch the trigonometric function

y = Cosx

What is a sinusoidal graph?

repeats periodically

Solve the trigonometric equation, where 0^o < θ < 360^o

Sin 3θ = -1/2

• find the reference angle, assume positive

• equation has a negative answer, find the quadrants where Sin is negative

• use reference angle to find angle in that quadrant

• let answers equal 3θ

Other name for reference angle

Principal Value

When can you use the Sin Rule?

When can you use the Cosine Rule?

When can you use the formula for the Area of a Triangle?

What vertically stretches a trigonometric function?

the amplitude

number in front of function

a Sin(x)

What horizontally stretches a trigonometric function?

number the angle is multiplied by

Sin(bx)

What vertically shifts a trigonometric function?

number added to the total function

c+ Sin(x) or Sin(x) +c

What horizontally shifts a trigonometric function?

number added to the angle

Sin(x +c)

What changes the range of a trigonometric function?

the number the function is being multiplied by

the number added to the total function

What changes the period of a trigonometric graph?

the number the angle is multiplied by

the number added to the angle