SOLUTION: Write the first trigonometric Functions in Terms of the second for Theta in the given quadratic. CosTheta, sinTheta :Theta in quadratic 4

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Question 1117153: Write the first trigonometric Functions in Terms of the second for Theta in the given quadratic.
CosTheta, sinTheta :Theta in quadratic 4

Answer by ikleyn(52847)   (Show Source): You can put this solution on YOUR website!
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Write the first trigonometric Functions in Terms of the second for Theta in the given quadrant.
CosTheta, sinTheta :Theta in quadrant 4.
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 +  = 1  - it is Pythagorean equation, which is  ALWAYS true.


So,   = ,  and it is  ALWAYS true,  again.


It implies that   = +/- ,  and you must correctly determine  which of the two possible signs to select, "+" or "-".


For it, recall that cosine is positive function in QIV, while sine is negative function in QIV.


Therefore,  you must select the sign "-", and the formula, finally, takes the form


 =    in QIV.


It is your answer.

Solved.


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