+0  
 
+1
102
1
avatar+187 

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

Maplesnowy  May 31, 2018
edited by Maplesnowy  May 31, 2018
 #1
avatar
+1

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

Guest May 31, 2018

44 Online Users

avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.