SOLUTION: Solve the following equations for all x, unless the domain is restricted.
sin^2(x) - 5 = cos^2(x) - 1
A. x = 0, 𝛑/2, 𝛑
B. x = 𝛑/2 + 2𝛑n, 𝛑 + 2𝛑n
C. x =
Question 1205833: Solve the following equations for all x, unless the domain is restricted.
sin^2(x) - 5 = cos^2(x) - 1
A. x = 0, 𝛑/2, 𝛑
B. x = 𝛑/2 + 2𝛑n, 𝛑 + 2𝛑n
C. x = 0, 𝛑/2, 𝛑, 3𝛑/2
D. no solution
E. x = 0 + 2𝛑n, 𝛑/2 + 2𝛑n
F. x = 𝛑 Found 2 solutions by MathLover1, ikleyn:Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website! => no real roots
This equation is good to solve it MENTALLY in your head.
sin^2(x) - 5 = cos^2(x) - 1
Transform it to equivalent equation
sin^2(x) - cos^2(x) = 4.
But sin^2(x) and cos^2(x) are non-negative and not greater than 1.
Hence, this equation has no solutions.