Trigonometry 2.1-2.5 Review

Steps for finding trigonometric function values for any nonquadrantal angle

1. Add or subtract 360 until you get a number within the range of 0 and 360. 2. find reference angle theta prime 3. Find the trigonometric function values for theta prime 4. determine the correnct signs for values found in step 3

Co function identities

For an acute angle A, cofunction values of complementary angles are equal

Csc A =

Hypotenuse/side opposite

Cot A =

Side adjacent/ side opposite

Sin A =

Side opposite/hypotenuse

Tan A =

Side opposite/side adjacent

Function values of special angles 45 degrees

Sin =sqrt2/2 Cos=sqrt2/2 Tan =1 Cot =1 Sec = sqrt2 Csc = sqrt2

Function values of special angles 60 degrees

Sin= sqrt3/2 cos = 1/2 tan = sqrt3 cot = sqrt 3/3 sec - 2 csc 2sqrt3/3

Function values of Special Angle 30 degrees

Sin=1/2 cos= sqrt3/2 tan = sqrt3/3 cot = sqrt 3 sec = 2sqrt3/3 csc = 2

Expressing bearing method 2

Start with a north south line and use an acute angle to show direction either ease or west, from this line. ]\

Expressing Bearing Method 1

When a single angle is given, bearing is measured in a clockwise direction from due north

Set calculator to degree mode.

find the corresponding angle measure given a trigonometric function value, us an appropriate inverse function

Sec A =

hypotenuse/side adjacent

Cos A =

side adjacent/hypotenuse

Solutions and applications of right triangles Solving an applied trigonometry problem

step 1. Draw a sketch and label with info given step 2: use the sketch to write an equation relating the given quantities to the variable. step 3 Solve the equation and check that the answer makes sense