Mathematics: Given that cosine theta = -1/2, and theta is obtuse, find: a) sine theta b) sine 2(theta) c) tangent theta d) sine 4(theta)

Given that cosine theta = -1/2, and theta is obtuse,

Ответ:

sammizwang

16.01.2022

Mathematics

Answers:

a) 0.86

b) -0.86

c) -1.73

d) 0.86

Step-by-step explanation:

We are told $cos \theta=-\frac{1}{2}$ . So, we first have to find the value of $\theta$ which is an obtuse angle (an angle greater than $90\°$ and smaller than $180\°$ ):

$\theta=cos^{-1} (-\frac{1}{2})$

$\theta=120\°$

Now that we know the value of the angle $\theta$ , let's begin with the answers:

a) $sin \theta=sin (120\°)=0.86$

b) $sin 2\theta=sin (2(120\°)=sin (240\°)=-0.86$

c) $tan \theta=tan (120\°)=-1.73$

d) $tan 4\theta=sin (4(120\°)=sin (480\°)=0.86$

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Ответ:

preciosakassidy

01.05.2023

Mathematics

1. Y

2.x

3.x-5

4.g(x)

Step-by-step explanation:

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Given that cosine theta = -1/2, and theta is obtuse, find:

a) sine theta

b) sine 2(theta)

c) tangent theta

d) sine 4(theta)

Ответ:

Ответ:

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