What is the general solution for cos(x)-sin(x)=0,y(0)=3 ?

The general solution for cos(x)-sin(x)=0,y(0)=3 is No Solution for x\in\mathbb{R}

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cos(x)-sin(x)=0,y(0)=3

cos (x) - sin (x) = 0, y (0) = 3

No Solution for x \in R

Solution steps

cos (x) - sin (x) = 0, y (0) = 3

Rewrite using trig identities

1 - tan (x) = 0

Move

1

to the right side

- tan (x) = - 1

Divide both sides by

- 1

tan (x) = 1

General solutions for

tan (x) = 1

x = \frac{π}{4} + πn

Solutions for the range

y (0) = 3

No Solution for x \in R

cos (x) + 3 sin (x) = 3

\frac{sin ( x ) tan ( x )}{1 + cos ( x )} = tan (x)

sec (x + 4 5^{\circ}) = 1

117.72 sin (θ) - 35.316 cos (θ) - 12.5 = 0

- 2 sin (θ) = 0

What is the general solution for cos(x)-sin(x)=0,y(0)=3 ?
The general solution for cos(x)-sin(x)=0,y(0)=3 is No Solution for x\in\mathbb{R}