Question

If sin theta is equal to 12 by 13 find the value of cos theta and tan theta

Answer 1

Answer:

Step-by-step explanation:

Answer 2

$Tan \theta = \frac{12}{5}$

$cos \theta = \frac{5}{13}$

Step-by-step explanation:

$Sin \theta = \frac{Perpendicular}{Hypotenuse}$

We are given

$Sin \theta = \frac{12}{13}$

On comparing

Perpendicular = 12

Hypotenuse=13

$Hypotenuse^2=Perpendicular^2+Base^2$

$13^2=12^2+Base^2\\\sqrt{13^2-12^2}=Base\\5= Base$

$Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{5}{13}$

$Tan \theta = \frac{Perpendicular}{Base}$

$Tan \theta = \frac{12}{5}$

#Learn more:

Find the value of sin^2theta-cos^2theta/2sintheta cos theta *1/tan^2 theta if sin theta =12/13

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