Mathematics: If sin a = - squareroot 3/4 and angle a is in the third quadrant, determine the exact value of tan a.

If sin a = - squareroot 3/4 and angle a is in the

Ответ:

michelle102567

15.01.2022

Mathematics

tan(A) = √3

Step-by-step explanation:

In the third quadrant, the tangent is positive. For sin(A) = -√(3/4), the tangent is ...

$\tan{A}=\dfrac{\sin{A}}{\cos{A}}=\dfrac{-\sqrt{\dfrac{3}{4}}}{-\sqrt{1-\left(\sqrt{\dfrac{3}{4}}\right)^2}}=\sqrt{\dfrac{\left(\dfrac{3}{4}\right)}{\left(\dfrac{1}{4}\right)}}\\\\\tan{A}=\sqrt{3}$

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Ответ:

kimloveswim

26.10.2022

Mathematics

Circumference equation is πr^2
Diameter = 2 x radius

π x 4^2
= 25.13

Hope this helps.

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If sin a = - squareroot 3/4 and angle a is in the third quadrant, determine the exact value of tan a.

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