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lbvjy [14]
3 years ago
13

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

Mathematics
2 answers:
attashe74 [19]3 years ago
8 0

Answer with explanation:

Let, A=Theta

→Used the identity

Sin²A+Cos²A=1

→Sine and cosine are negative in third Quadrant.

\sin A= \frac{-\sqrt{3}}{2}\\\\\pi < A

Kryger [21]3 years ago
7 0
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
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