BELL-WORKBELL-WORKTCAP Bell-Work # 27,28

TB pg 604 #25-33

HW 3.3(c)HW 3.3(c)Due tomorrow:

Handout

HW 3.3(b) SolutionsHW 3.3(b) SolutionsDue tomorrow:

PW 8-4 (even)

Check Point Check Point Reminders:

Check off your project on the rubric

Make sure it is neat and creatively put together

Make sure every section has its own title

Make sure you talk ONLY about why the person is a minority in the first section

Make sure you give proper citations

Make sure you give enough information

Project is due on Monday

CW 3.3 Review

TB pg 573 # 17-21Tb pg 568 # 34,35TB pg 570 # 57

CW 3.4 Review

Value (Simplest radical form)

sin 30

cos 30

tan 30

sin 45

cos 45

tan 45

sin 60

cos 60

sin 60

Guiding question:

What are six trigonometric ratios?

Right Triangle TrigonometrySo far, we have

* found the third length of a right triangle, using the

Pythagorean Theorem,

* found missing lengths of right triangles, when we know 2 sides and an angle,

using trigonometric ratios,

and

* found the measure of angles of a right triangle if we know the side lengths,

using the inverse of the ratios.

Right Triangle TrigonometryToday we will learn 3 additional trigonometric ratios.

The three we learn today are the reciprocals of the three we already know.

Secant

Cosecant

Cotangent

Inverse Trigonometric RatiosCosecant =

hypotenuse opposite

= 1 . sinSecant =

hypotenuse adjacent

= 1 . cosCotangent =

adjacent opposite = 1 .

tan

Inverse Trigonometric Ratios

Given the right triangle below, find sin A, cos A, tan A, sec A, csc A and cot A.

Inverse Trigonometric Ratios

Find c.

Inverse Trigonometric Ratios

Find x and y.

Inverse Trigonometric Ratios

If x is an acute angle of a right triangle and sin x = 3 / 7, find the exact value of the trigonometric functions cos x and cot x.

If x is an acute angle and tan x = 5, find the exact value of the other 5 trigonometric functions.

Inverse Trigonometric RatiosRepresent each of the following in terms of sin(x) and cos(x). You may assume that each angle x is measured in degrees.

sin(x)∙cot(x)

sin2(x)∙cot(x)

If csc(x) is ¾, then what is cos(x)?

Who wants to answer the Guiding question?

What are six trigonometric ratios?