SOLUTION: 7. If tan(x) = 2 and x ∈ [180◦ , 270◦ ]. Determine the value of
(i) cos(x)
(ii) sin(x)
(iii) the angle x
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Question 1077232: 7. If tan(x) = 2 and x ∈ [180◦ , 270◦ ]. Determine the value of
(i) cos(x)
(ii) sin(x)
(iii) the angle x
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
—
—> and since : ,
But since we're in Q3, we need to add to get it into standard form (where the angle is measured from the +x axis counterclockwise).
(iii) in standard form.
(i) or approx. -0.447214
(ii) or approx. -0.894427
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NOTE: Just be aware: often you will want to normalize things so you have a unit circle (i.e. r=1). I did not use a unit circle (h=sqrt(5)). To do that I would have had to divide a,b, and h by sqrt(5). However, since the problem only dealt with ratios of the sides, the lack of normalization didn't matter.
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