Section 7-5 The Other Trigonometric Functions Objective: To find the values of: the tangent, cotangent, secant, and cosecant functions and to sketch the functions’ graphs.

FILL IN THE TABLE BELOW Quadrant I II III IV

Topics to know for today’s lesson

We can define other trig functions in terms of (x,y). nameAbbreviationdefinition tangent of  tan  cotangent of  cot  secant of  sec  cosecant of  csc 

Reciprocals

Fill in the table below with appropriate signs Q1Q2Q3Q4 tan  cot  sec  csc 

Fill in the table below with appropriate signs Q1Q2Q3Q4 tan  +-+- cot  +-+- sec  +--+ csc  ++-- Positive Negative

Find the value of each; round to the nearest hunderdths

Restrictions FunctionDefinitionrestriction

Why do the restrictions matter The value of the function on the calculator The graph of the function.

Find the value of each expression to four significant digits. A.) tan 203° B.) cot 165° C.) csc (-1) D.) sec 11

Express each in terms of reference angle:

Sec 7.5 day 2 Express each of the following in terms of a reference angle.

Tangent and secant functions on unit circle.

Cotangent and cosecant on the unit circle

If  was in degrees: How would each graph be different? How would each graph be the same? What would the period and amplitude be?

Given θ is a second-quadrant angle

Homework written exercise sec 7.5 DAY 1: # 1-9 all DAY 2: #10-19 all and odds Optional: Check out: Graphing program online: DesmosGraphing program online: Desmos Or