Precalc
posted by Beatrice on .
Verify this identity. How would you prove it
(sin^3(x)+cos^3(x))÷(12cos^2(x)) = (sec(x)sin(x))÷(tan(x)1)

on the LS,
sin^3+cos^3 = (sin+cos)(sin^2  sin*cos + cos^2) = (sin+cos)(1sin*cos)
12cos^2 = sin^2cos^2 = (sin+cos)(sincos)
divide, giving (1sin*cos)/(sincos)
on the RS,
secsin = 1/cos  sin = (1sin*cos)/cos
tan1 = sin/cos  1 = (sincos)/cos
divide, giving (1sin*cos)/(sincos)
LS = RS