Mathematics: For the following problem, assume that all given angles are in simplest form, so that if a is in qiv you may assume that 270° a 360°. if sin ( a ) = − 1/3 with a in qii then find cos a/2.

1.35 can equal to 35/100Ans simplify that to 7/20 by dividing 35/100 by 5....

For the following problem, assume that all given angles

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16.03.2022

Step-by-step explanation:

Given that angle A is in IV quadrant

So A/2 would be in II quadrant.

sin A = -1/3

cos A = $\sqrt{1-sin^2 A} =\frac{2\sqrt{2} }{3}$

(cos A is positive since in IV quadrant)

Using this we can find cos A/2

$cosA = 2cos^2 \frac{A}{2} -1\\Or cos \frac{A}{2} =-\sqrt{\frac{1+cosA}{2} } =-\sqrt{\frac{3+2\sqrt{2} }{6} }$

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