SOLUTION: If 5 sin t − cos t = 0, find all possible values of sin t and cos t.

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Question 1027370: If 5 sin t − cos t = 0, find all possible values of sin t and cos t.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
5%2Asin%28t%29+-+cos%28t%29%22%22=%22%220

Add cos(t) to both sides:

5%2Asin%28t%29%22%22=%22%22cos%28t%29

Divide both sides by cos(t)

5%2Asin%28t%29%2Fcos%28t%29%22%22=%22%22cos%28t%29%2Fcos%28t%29

5%2Aexpr%28sin%28t%29%2Fcos%28t%29%29%22%22=%22%22cross%28cos%28t%29%29%2Fcross%28cos%28t%29%29

5%2Atan%28t%29%22%22=%22%221

Divide both sides by 5

tan%28t%29%22%22=%22%221%2F5

Use inverse tangent feature of calculator:

t%22%22=%22%22%2211.30993247%B0%22%2B%22180%B0%22%2An if you want degrees.

or

t%22%22=%22%220.1973955598%2B2n%2Api if you want radians.

Edwin