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Popular >

1-cos^2(x)-sin^{22}(x)=0

Solution

1 - cos^{2} (x) - sin^{22} (x) = 0

Solution

x = 2 πn, x = π + 2 πn, x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

+1

Solution steps

1 - cos^{2} (x) - sin^{22} (x) = 0

Rewrite using trig identities

- sin^{22} (x) + sin^{2} (x) = 0

Solve by substitution

sin (x) = 0, sin (x) = 1, sin (x) = - 1

sin (x) = 0 : x = 2 πn, x = π + 2 πn

sin (x) = 1 : x = \frac{π}{2} + 2 πn

sin (x) = - 1 : x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = 2 πn, x = π + 2 πn, x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

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Frequently Asked Questions (FAQ)

What is the general solution for 1-cos^2(x)-sin^{22}(x)=0 ?
The general solution for 1-cos^2(x)-sin^{22}(x)=0 is x=2pin,x=pi+2pin,x= pi/2+2pin,x=(3pi)/2+2pin