gdrew373
gdrew373 gdrew373
  • 05-06-2020
  • Mathematics
contestada

if tan theta=3/4, find sin theta

Respuesta :

braind1012
braind1012 braind1012
  • 05-06-2020

Answer:

sin(theta)=3/5

Step-by-step explanation:

tan(theta)=3/4

sec^2(theta)=1+tan^2(theta)=1+(3/4)^2=1+9/16=(16+9)/16=25/16

sec(theta)=square root of(25/16)=5/4

sec(theta)=1/cos(theta)=5/4

cos(theta)=4/5

sin^2(theta)=1-cos^2(theta)=1–16/25=(25–16)/25=9/25

sin(theta)=3/5

So

sec(theta)=5/4

sin(theta)=3/5

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