Question

If tan a =4/3 , find the value of sin a and cos a

Answer 1

Answer:

TanA=4/3 = perpendicular /base

Perpendicular ^2+ base^2= hypotenuse ^2

4^2+3^2=Hypotenuse ^2

Hypotenuse =5

SinA= Perpendicular /Hypotenuse = 4/5

CosA=Base/Hypotenuse = 3/5

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Answer 2

Answer:

sin a=4/5

cos a=3/5

Step-by-step explanation:

p=perpendicular , b=base , h=Hypotenuse

$\tan(a) = \frac{ p}{b} = \frac{4}{3}$

$h = \sqrt{ {p}^{2} + {b}^{2} }$

$h = \sqrt{ {3}^{2} + {4}^{2} } = 5$

$\sin(a) = \frac{p}{h} = \frac{4}{5}$

$\cos(a) = \frac{b}{h} = \frac{3}{5}$

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