Given cos 30° = √3)/2 use the trigonometric identities to find the exact value of each of the fallowing?
Given cos 30° = √3)/2 use the trigonometric identities to find the exact value of each of the fallowing
Sin 60° =
Sin^2 30° =
Sec π/6 =
Csc π/3 =
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using cos x = sin(90°-x)
cos (30°) = sin (90°-30°) = sin(60°) = √(3)/2
using sin^2 (x) + cos^2(x) = 1
sin^2 (30°) + cos^2(30°) = 1
sin^2 (30°)=1-(√(3)/2)^2
=1 - 3/4
=1/4
Sec π/6
=1/(cos π/6)
=1/(cos 30°) because π/6 rad = (π/6)*(180/π)°=30°
=2/√3
Csc π/3
=1/(sin π/6)
=1/(sin 60°) because π/3 rad = (π/3)*(180/π)°=60°
=2/√3