If sin theta = - squrt. 3/2 and pi < theta < 3pi/2, what are the values of cos theta and tan theta?

Question

Jaslene Richards

Mathematics

2 February, 07:23

If sin theta = - squrt. 3/2 and pi < theta < 3pi/2, what are the values of cos theta and tan theta?

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Answers (1)

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Brett Casey · Answer 1

So this first wants you to find where sin is √3/2 when θ is between π and 3π/2. θ would therefore be located at 2π/3.

Now plug in the value of θ for cosine:

cos (2π/3) = - 1/2

And tangent:

tan (2π/3) = - √3/3