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UNIT
8 :
TRIGONOMETRIC FUNCTIONS
LESSON
7: SUMMARY & TEST
LESSON
1: TRIGONOMETRIC FUNCTIONS OF REAL
NUMBERS HOMEWORK QUESTIONS
Angles
in Standard Position using the Unit Circle:
Special Angles Table
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1 |
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LESSON 2 : COMPOUND ANGLE FORMULAS
In this
section we develop the compound angle formulas, which allow us to write the
sine or cosine of (x + y) or (x – y) in terms of the sines and cosines
of the
individual angles x and y. See your
text for proofs of the following formulas.
LESSON
3: SUM TO PRODUCT AND PRODUCT TO SUM
FORMULAS
LESSON 4: DOUBLE ANGLE FORMULAS
LESSON 5: SOLVING TRIGONOMETRIC EQUATIONS
LESSON 6: INVERSE TRIGONOMETRIC FUNCTIONS
Summary: The
graphs of the inverse trigonometric functions are reviewed below.
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Inverse Function |
Domain |
Range |
Example |
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y = sin-1x |
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y = cos-1x |
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y = tan-1x |
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The CAST rule:
The CAST
RULE is a memory aid which
tells us the sign of the trig ratios in the various quadrants.
In the
first quadrant ALL are positive. This is denoted using the letter A.
In the
second quadrant, SINE
is positive. This is denoted by
the letter S.
[ the
other two ratios are negative ]
In the
third quadrant, TANGENT
is positive. This is denoted by
the letter T.
[ the
other two ratios are negative ]
In the
fourth quadrant, COSINE
is positive. This is denoted by
the letter C.
[ the
other two ratios are negative ].
The Unit Circle for Special Angles
