SOLUTION: find all values of x in the interval [0,2pi] that satisfy sin^2x+cosx=1

SOLUTION: find all values of x in the interval [0,2pi] that satisfy sin^2x+cosx=1

Algebra.Com

Question 858237: find all values of x in the interval [0,2pi] that satisfy sin^2x+cosx=1
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find all values of x in the interval [0,2pi] that satisfy
sin^2x+cosx=1
1-cos^2x+cosx=1
cos^2x-cosx=0
cosx(cosx-1)=0
cosx=0
x=π/2, 3π/2
or
cosx-1=0
cosx=1
x=0, 2π
all values of x in the interval [0,2pi]: 0, π/2, 3π/2, 2π
RELATED QUESTIONS
Find all values of 't' in the interval [0, 2pi] that satisfy... (answered by Boreal,ikleyn)

Find all values of x in the interval (0, 2pi) that satisfy the condition: ((csc^2)x)-1=4 (answered by lwsshak3)

Find all values of x in the interval [0, 2pi] that satisfy the given equation. (Enter... (answered by lwsshak3)

Find all values of x in the interval [0, 2pi] that satisfy the equation. 4 cos(x) - 2 =... (answered by lwsshak3)

Find all the values of x in the interval [0,2pi) that satisfy the equation... (answered by ikleyn)

find all values of in the interval 0 2π that satisfy the inequality sin... (answered by lynnlo)

Find all values of x in the interval [0, 2π] that satisfy the given equation.... (answered by Boreal,ikleyn)

Find all values of x in the interval [0, 2π] that satisfy the equation (sin x) *... (answered by lwsshak3)

Find all values of x in the interval [0, 2π] that satisfy the equation 6 cos(x) +... (answered by ikleyn)