SOLUTION: Fins all exact solutions on (0, pi) for 2 cos^2(t) - 3 cos(t) = -1

Algebra.Com
Question 1176516: Fins all exact solutions on (0, pi) for 2 cos^2(t) - 3 cos(t) = -1
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


It's a quadratic equation with cos(t) as the variable. Solve like a quadratic polynomial equation:
(1) get everything on one side, set equal to 0 on the other side
(2) factor the quadratic
(3) the solutions are whatever makes either factor equal to 0




or

You can finish from there.


RELATED QUESTIONS

Find all exact solutions on [0, 2𝜋). (Enter your answers as a comma-separated list.) (answered by MathLover1,math_tutor2020,mananth)
Find all exact solutions on [0, 2𝜋). (Enter your answers as a comma-separated list.) (answered by MathLover1,ikleyn)
Find all the exact t-values which are solutions for the following: 1) Sin(t)= Square (answered by richwmiller)
Solve cos^2 ( t ) = − 7 sin ( t ) for all solutions 0 ≤ t < 2... (answered by Alan3354)
``Find all the exact t-values for each which are solutions for the following: 1)... (answered by stanbon)
Find all the exact t-values for which cos(t)= Square root of... (answered by lwsshak3)
if cos(t)= -1/5 and pi < t < 3pi/2, then tan( pi/3 + t) =... (answered by jsmallt9)
1)Find the value of t and determine the quadrant cos t= -4/5 2)If the terminal point... (answered by solver91311)
Please help me out with this problem! Solve for all solutions of t on the interval... (answered by Alan3354)