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allochka39001 [22]
3 years ago
12

Algebra 2 Help!

Mathematics
2 answers:
m_a_m_a [10]3 years ago
6 0
Base on the question that ask to calculate the sine, cosine, and tangent of 5pi/3 radians and base on my further calculation, I would say that the answer would be <span>sin Θ = -sqrt 3/2; cos Θ = -1/2; tan Θ = -sqrt 3. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification </span>
Oksana_A [137]3 years ago
3 0

Answer:

sin(\frac{5\pi }{3})=-\frac{\sqrt{3}}{2} ; cos(\frac{5\pi }{3})=\frac{1}{2} ; tan(\frac{5\pi }{3})=-\sqrt{3}

Step-by-step explanation:

we know that

\pi \ radians=180\ degrees

so

\frac{5\pi }{3}\ radians=300\ degrees

The angle belong to the IV quadrant

therefore

The sine is negative

The cosine is positive

The tangent is negative

360\°-300\°=60\°

so

sin(\frac{5\pi }{3})=-sin(60\°)=-\frac{\sqrt{3}}{2}

cos(\frac{5\pi }{3})=cos(60\°)=\frac{1}{2}

tan(\frac{5\pi }{3})=-tan(60\°)=-\sqrt{3}

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