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Popular >

solvefor x,sin(x+pi/2)-cos^2(x)=0

Solution

solve for

x, sin (x + \frac{π}{2}) - cos^{2} (x) = 0

Solution

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

+1

Solution steps

sin (x + \frac{π}{2}) - cos^{2} (x) = 0

Rewrite using trig identities

cos (x) - cos^{2} (x) = 0

Solve by substitution

cos (x) = 0, cos (x) = 1

cos (x) = 0 : x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

cos (x) = 1 : x = 2 πn

Combine all the solutions

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

Popular Examples

0 = 4 + 3 cos (θ)

cos (θ) = \frac{6}{8}

solvefor x,4cos(x)*sin(y)=1 solve for

x, 4 cos (x) \cdot sin (y) = 1

arctan(1/4 x)-pi-arctan(x/(100))=-pi

arctan (\frac{1}{4} x) - π - arctan (\frac{x}{100}) = - π

(cot(x)+1/(cot(x)))/(cos(x))=sec(x)

\frac{cot ( x ) + \frac{1}{c o t ( x )}}{cos ( x )} = sec (x)

Frequently Asked Questions (FAQ)

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