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Find tanθ if cosθ=1/2 is in the first quadrant.

1 Answer

6 votes

tan = √3

STEPS:

based on 1,2,√3 triangle (30°,60°,90°)

where :

1 is opposite 30°

√3 (around 1.7) is opposite of 60

2 is opposite of 90°

smallest side is opposite of smallest angle

largest side is opposite of largest angle

cosθ = 1/2 = adjacent/hypotenuse so

adjacent = 1

hypotenuse = 2 so

opposite must be √3

tan = opposite/adjacent = √3/1 = √3

Find tanθ if cosθ=1/2 is in the first quadrant.-example-1
User Florian Ldt
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