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Popular >

cos(a)+sin(a)=1

Solution

cos (a) + sin (a) = 1

Solution

a = 2 πn, a = 2 πn + \frac{π}{2}

+1

Solution steps

cos (a) + sin (a) = 1

Rewrite using trig identities

2 sin (a + \frac{π}{4}) = 1

Divide both sides by

2

sin (a + \frac{π}{4}) = \frac{2}{2}

General solutions for

sin (a + \frac{π}{4}) = \frac{2}{2}

a + \frac{π}{4} = \frac{π}{4} + 2 πn, a + \frac{π}{4} = \frac{3 π}{4} + 2 πn

Solve

a + \frac{π}{4} = \frac{π}{4} + 2 πn : a = 2 πn

Solve

a + \frac{π}{4} = \frac{3 π}{4} + 2 πn : a = 2 πn + \frac{π}{2}

a = 2 πn, a = 2 πn + \frac{π}{2}

Popular Examples

cos (x) = \frac{1}{7}

sin(5x+43)=cos(-x+31)

sin (5 x + 43) = cos (- x + 3 1^{\circ})

sin(x)+1=2cos^2(x)

sin (x) + 1 = 2 cos^{2} (x)

solvefor x,arctan(x^2+9y^2-2x-36y+37)=0 solve for

x, arctan (x^{2} + 9 y^{2} - 2 x - 36 y + 37) = 0

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Frequently Asked Questions (FAQ)

What is the general solution for cos(a)+sin(a)=1 ?
The general solution for cos(a)+sin(a)=1 is a=2pin,a=2pin+pi/2