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Popular >

sin(t)+cos(t)=1

Solution

sin (t) + cos (t) = 1

Solution

t = 2 πn, t = 2 πn + \frac{π}{2}

+1

Solution steps

sin (t) + cos (t) = 1

Rewrite using trig identities

2 sin (t + \frac{π}{4}) = 1

Divide both sides by

2

sin (t + \frac{π}{4}) = \frac{2}{2}

General solutions for

sin (t + \frac{π}{4}) = \frac{2}{2}

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

Solve

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

Solve

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

t = 2 πn, t = 2 πn + \frac{π}{2}

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Frequently Asked Questions (FAQ)

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