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Popular >

sin(a)+cos(a)=1

Solution

sin (a) + cos (a) = 1

Solution

a = 2 πn, a = 2 πn + \frac{π}{2}

+1

Solution steps

sin (a) + cos (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}

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Frequently Asked Questions (FAQ)

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