Wednesday

April 16, 2014

April 16, 2014

Posted by **Wayne** on Sunday, May 19, 2013 at 6:39am.

Cos^2 +3sin= -3

- math -
**Reiny**, Sunday, May 19, 2013 at 7:55amcos^2 x + 3sinx = -3

1 - sin^2 x + 3sinx + 3 = 0

sin^2 x - 3sinx - 4 = 0

(sinx -4)(sinx + 1) = 0

sinx = 4 , which is not possible

or

sinx = -1

x = 3π/2

since the period of sinx is 2π

general solution:

x = 3π/2 + 2kπ, where k is an integer.

**Related Questions**

Math, derivatives - Let g(x) = sin (cos x^3) Find g ' (x): The choices are a) -...

math - Solve each equation , then write the general solution cos(pi/2(x+1))=...

Precal - I do not understand how to do this problem ((sin^3 A + cos^3 A)/(sin A...

Calculus - Find the derivative of y with respect to x: y=3sin^4(2-x)^-1 y=[3sin(...

trig - What's the general solution for 3sin^2x+sinxcosx=2

calculus - Which of the following is NOT a solution to cos^2 x = 3sin^2 x? 30 60...

Math - Can you help me with this? I did this many times and got different ...

Calculus problem - Evaulate: integral 3x (sinx/cos^4x) dx I think it's sec3 x , ...

trig - 2sin(x)cos(x)+cos(x)=0 I'm looking for exact value solutions in [0, 3&#...

math - write the general solution to 2cos^2x+cos x=1