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Scilla [17]
3 years ago
12

Determine the equation of the line shown in the graph: x = 3 y = 3 y = 0 x = 0

Mathematics
1 answer:
Leona [35]3 years ago
5 0
X = 3, since the 3 on the X-Axis is marked and not 3 on the Y-Axis
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Which sum or difference identity would you use to verify that cos (180° - q) = -cos q?
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Answer:

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Step-by-step explanation:

 Given : \cos (180^{\circ}-q)=-\cos q

We have to write which identity we will use to prove the given statement.

Consider \cos (180^{\circ}-q)=-\cos q

Take left hand side of given expression \cos (180^{\circ}-q)

We know

\cos (a-b)=\cos a \cos b+\sin a \sin b

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Substitute , we get,

\cos (180^{\circ}-q)=\cos 180^{\circ}  \cos (q)+\sin q \sin 180^{\circ}

Also, we know \sin 180^{\circ}=0 and \cos 180^{\circ}=-1

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\cos (180^{\circ}-q)=-1\cdot \cos (q)+\sin q \cdot 0

Simplify , we get,

\cos (180^{\circ}-q)=-\cos (q)

Hence, use difference identity to  prove the given result.

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