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BELL-WORK
TCAP Bell-Work # 27,28
TB pg 604 #25-33
HW 3.3(c)
Due tomorrow:
Handout
HW 3.3(b) Solutions
Due tomorrow:
PW 8-4 (even)
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 # 17-21
Tb pg 568 # 34,35
TB 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 Trigonometry
So 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 Trigonometry
Today 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 Ratios
Cosecant =
hypotenuse
opposite
= 1 .
sin
Secant =
hypotenuse
adjacent
= 1 .
cos
Cotangent =
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 Ratios
Represent 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?