+195 1) Simplify the following -- There should be no fractions in your final answer.
a) (30 sin^3xCosx)/(6cos^2xSinx)
b) (cot^2xSec^2x)/(sinxcot^2x+sinx)
2) Solve for Sin(x) be sure to check for all options that are possible (You're only solving for Sinx, not x)
2cos^2x(x-pi/2) - 3cos(x-pi/2)-2 = 0
1A) reduce what you have to 5sin^2/cos, no fractions, 5 tan sin
1b) always convert everything to sin and cos to make it easy
after doing that and simplifing the top becomes 1/sin^2
the bottom becomes cos^2/sin + sin, common denomenator gives us cos^2+sin^2/sin
hey the top became 1, now we have (1/sin^2)/(1/sin), simplifies into 1/sin or csc with no fractions
2) lets convert those cos to sin
factor a - out then convert using cos (pi/2 - x) = sin
-2(sin^2)x+3sinx -2=0
sinx(-2sinx+3) =2
sinx =2 and sinx = 1/2
