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sin cos tan O H A H O A H csc O H sec A A cot O

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

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