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How do I do 26 and 30 and 32 I find the reference angle then don't know what to do after that

How do I do 26 and 30 and 32 I find the reference angle then don't know what to do-example-1

1 Answer

4 votes
You said you know how to find the reference angle, so I won't go though that. For 26, the reference angle is
(\pi)/(6). So we need to evaluate:

\tan((\pi)/(6))

Remember:

\tan=(\sin)/(\cos)

Then our fraction is
((1)/(2))/((√(3))/(2))=(1)/(√(3))=(√(3))/(3). The last thing to remember is the sign of the fraction. An easy way to do this is to remember "All Students Take Calculus" which corresponds to which trig function is positive in which quadrant. Q1 is All positive, Q2 is cos positive, Q3 is tan positive, Q4 is sin positive. Since tan is negative in Q2 and that's where our angle is, our final answer is
(-√(3))/(3). The other two questions are similar conceptually.
User Jxw
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