If cos theta is equal to -7/25 and theta (180°;360°) what is the value of 14 tan theta

asked Oct 9, 2022 222k views

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1 vote

Answer:

$14 tan\theta = -48$

Explanation:

$cos \theta = (-7)/(25)\\\\cos^2 \theta = (49)/(625)\\\\sin^2 \theta = 1 - cos^2 \theta\\\\$

$=1 - (49)/(625)\\\\=(625-49)/(625)\\\\=(576)/(625)\\\\$

$sin \theta = \sqrt{(576)/(625)} = (24)/(25)$

$tan \theta = (sin \theta)/(cos \theta)$

$=((24)/(25))/((-7)/(25))\\\\=(24)/(25) * (25)/(-7)\\\\=(-24)/(7)$

$14 tan \theta = 14 * (-24)/(7) = 2 * -24 = -48$

PermGenError answered Oct 15, 2022

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