sin cos tan O H A H O A H csc O H sec A A cot O
sec30 cot45 ° °
sec30 cot45 ° °
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Today we will:<br />
Find the exact value of a trig function for a given angle<br />
Find the exact value of a trig expression<br />
Find the exact values of all six trig functions given an<br />
angle<br />
Use a calculator to approximate the value of a trig<br />
expression, rounded to four decimal places<br />
Recall right triangle trig SOH-CAH-TOA<br />
Sine, co<strong>sin</strong>e and <strong>tan</strong>gent are the primary<br />
trigonometric functions.<br />
Co<strong>sec</strong>ant, <strong>sec</strong>ant, and co<strong>tan</strong>gent are<br />
reciprocal trig functions.<br />
<strong>sin</strong><br />
<strong>cos</strong><br />
<strong>tan</strong><br />
<br />
<br />
<br />
O<br />
H<br />
A<br />
H<br />
O<br />
A<br />
H<br />
<strong>csc</strong> <br />
O<br />
H<br />
<strong>sec</strong> <br />
A<br />
A<br />
<strong>cot</strong> <br />
O
Find the value of each of the six trig<br />
functions for the angle 3<br />
<br />
Note: with points on the unit circle, the value of <strong>sin</strong>e<br />
corresponds to the y value of the coordinate, the<br />
value of co<strong>sin</strong>e corresponds to the x value of the<br />
coordinate, and the value of <strong>tan</strong>gent corresponds to<br />
y<br />
x .<br />
.
Find the exact value:<br />
<strong>cot</strong><br />
7<br />
2<br />
Find the exact value for each expression:<br />
<strong>sin</strong> 30 <strong>cos</strong> 45<br />
<strong>sec</strong>30<strong>cot</strong> 45
Find the value of all six trig functions for the<br />
given angle:<br />
2<br />
3
Use a calculator to approximate the value of each<br />
expression: (hint: check the mode on your<br />
calculator – you will need to alternate between<br />
radians and degrees)<br />
<strong>cos</strong>14<br />
<br />
<strong>cot</strong> 12