3 years ago

Solve the equation for x.

Mathematics

1 answer:

yarga [219]3 years ago

6 0

Answer:

-90

Step-by-step explanation:

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If sin theta = cos theta then find the value of theta

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Step-by-step explanation:

$\because \sin \theta = \cos \theta \\ \\ \therefore \: \sin \theta = \sin(90 \degree - \theta) \\ \\ \therefore \: \theta = 90 \degree - \theta \\ \\ \therefore \: \theta + \theta= 90 \degree \\ \\ \therefore \: 2\theta = 90 \degree \\ \\\therefore \: \theta = \frac{90 \degree }{2} \\ \\ \huge \orange{\boxed{\therefore \: \theta = 45 \degree}}\\ \\$