math

3cos^2(theta)-3 = 5sin(theta)-2

  1. 👍 0
  2. 👎 0
  3. 👁 57
asked by nicky
  1. 3cos^2θ - 3 = 5sinθ - 2
    3(1-sin^2θ) - 3 = 5sinθ - 2
    3 - 3sin^2θ - 3 = 5sinθ - 2
    3sin^2θ + 5sinθ - 2 = 0
    (3sinθ-1)(sinθ+2) = 0
    sinθ = 1/3 or -2
    ...

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus Question! ASAP!

    Hello! I have this problem: x(dx)/sqrt(9-x^2) I was wondering why I can't use trig substitution and substitute sqrt(9-x^2) for sqrt(1-sec^2) and having: integral x = 3sin(theta) dx = 3cos(theta)d(theata) integral

    asked by Lucy on February 15, 2017
  2. Calculus

    Find the length of the entire perimeter of the region inside r=5sin(theta) but outside r=1. 1=5sin(theta) theta=arcsin(1/5) r'=5cos(theta) I tried the integral between arcsin(1/5) and pi-arcsin(1/5) of

    asked by Joe on February 19, 2016
  3. Pre-Calculus

    Which is the polar form of the parametric equations x=5cos(theta) and y=5sin(theta) ? a. r= 5(theta) b. r= 5 c. r= 25 cos (theta) sin (theta)***** d. r= 25cos^2 (theta) + 25sin^2 (theta) Which is the polar form of the parametric

    asked by Vsuf on May 22, 2018
  4. Math trigonometry

    8sin^2theta+10 sin theta cos theta =3cos^2 theta=0 then general solution for theta is

    asked by Sneha reddy on July 15, 2017
  5. trig

    I don't understand how to do this type of question? If 9cos^2 theta +3cos theta=0, where 90 degrees

    asked by Sandy on March 10, 2010
  6. Calculus

    I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure

    asked by Joshua on March 13, 2009
  7. related rates with work shown

    this is a relate rates problem in calculus in a right triangle, the hypotenuse is 5 and the vertical side is x and the angle is theta. so if theta increases at a constant rate of 3 radians per minute, at what rate is x increasing

    asked by Anonymous on April 15, 2007
  8. Trigonometry

    find all values of theta in the interval 0

    asked by Jade on May 20, 2012
  9. math

    prove 3cos theta - cos3theta = 2cos theta cos2theta + 4sin theta sin 2theta

    asked by Cindy on January 16, 2016
  10. trig

    if 5sin theta + 12cos theta is equal to 13 find the value of tan theta

    asked by Anonymous on June 15, 2013
  11. math trigonometry

    if 5sin theta + 12cos theta is equal to 13 find the value of tan theta

    asked by salina on June 15, 2013

More Similar Questions