Find theta if sin(theta+36°)=cos theta where theta +36 is an acute angle
3 answers
Your School SUBJECT is probably MATH.
sin(θ+36) = cosθ
sinθ cos36 + cosθ sin36 = cosθ
sinθ cos36 = cosθ(1-sin36)
That's exact, but you can approximate
sin 36 = 0.6
cos 36 = 0.8
You can change sin to cos bu squaring and remembering that sin^2 + cos^2 = 1
sinθ cos36 + cosθ sin36 = cosθ
sinθ cos36 = cosθ(1-sin36)
That's exact, but you can approximate
sin 36 = 0.6
cos 36 = 0.8
You can change sin to cos bu squaring and remembering that sin^2 + cos^2 = 1
or, you can proceed by noting that you have
tanθ = (1-sin36)/cos36 = 0.509
tanθ = (1-sin36)/cos36 = 0.509