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33 votes
33 votes
Solve the equation
tan^2 thetha-3 tan thetha+2=0 for 0

User Dluk
by
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1 Answer

16 votes
16 votes

Explanation:


\tan^2 \theta - 3\tan \theta + 2 = 0

Let
x = \tan \theta

We can then write


x^2 -3x + 2 = 0\:\:\Rightarrow\:\:(x - 2)(x - 1) = 0

or


(\tan \theta - 2)(\tan \theta - 1) = 0

The zeros occur when


\tan \theta = 2\:\:\:\text{or}\:\:\:\tan \theta = 1

or when
\theta = 63.4° or
\theta = 45°.

User Onefootswill
by
3.2k points