What is the general solution for sin(x)+cos(x)= 3/2 ?

The general solution for sin(x)+cos(x)= 3/2 is No Solution for x\in\mathbb{R}

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sin(x)+cos(x)= 3/2

sin (x) + cos (x) = \frac{3}{2}

No Solution for x \in R

Solution steps

sin (x) + cos (x) = \frac{3}{2}

Rewrite using trig identities

2 sin (x + \frac{π}{4}) = \frac{3}{2}

Divide both sides by

2

sin (x + \frac{π}{4}) = \frac{3 2}{4}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

cos^{2} (x) - sin^{2} (x) - 5 sin (x) = 3

sin (θ) = - \frac{21}{5}

t, cos (2 t) - sin (t) = o

cot (x) = - \frac{15}{8}

tan (x^{\circ}) = \frac{30}{73}

What is the general solution for sin(x)+cos(x)= 3/2 ?
The general solution for sin(x)+cos(x)= 3/2 is No Solution for x\in\mathbb{R}