Given sec α = 40/ 12 and 2π < α < 4π/ 2 , find sin( α/ 2 ). Simplifying is not necessary. Use a half-angle formula.

Answer 1

sin(a/2) = sin(40/24) = sin(5/3)

sec(a)=1/cos(a)

half angle formula

cos^2(a) = 1/2+1/2cos(2a)

sin^2(a) = 1/2-1/2cos(2a)

Use those to then rearrange and plug and play.

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