What is the general solution for (sin(x)-2)(cos(x)+7)=0 ?

The general solution for (sin(x)-2)(cos(x)+7)=0 is No Solution for x\in\mathbb{R}

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(sin(x)-2)(cos(x)+7)=0

(sin (x) - 2) (cos (x) + 7) = 0

No Solution for x \in R

Solution steps

(sin (x) - 2) (cos (x) + 7) = 0

Solving each part separately

sin (x) - 2 = 0 or cos (x) + 7 = 0

sin (x) - 2 = 0 :

No Solution

sin (x) - 2 = 0

Move

2

to the right side

sin (x) - 2 = 0

Add

2

to both sides

sin (x) - 2 + 2 = 0 + 2

Simplify

sin (x) = 2

sin (x) = 2

- 1 \leq sin (x) \leq 1

No Solution

cos (x) + 7 = 0 :

No Solution

cos (x) + 7 = 0

Move

7

to the right side

cos (x) + 7 = 0

Subtract

7

from both sides

cos (x) + 7 - 7 = 0 - 7

Simplify

cos (x) = - 7

cos (x) = - 7

- 1 \leq cos (x) \leq 1

No Solution

Combine all the solutions

No Solution for x \in R

- 4 tan (θ) - 10 = 4 tan (θ) - 7

sin (x) = sin (x^{2})

sin (x) = - 0.23

2 sin^{2} (x) + 3 sin (x) + 1 = 0, 0 \leq x \leq 2 π

cos (3 x) - 1 = sin (3 x)

What is the general solution for (sin(x)-2)(cos(x)+7)=0 ?
The general solution for (sin(x)-2)(cos(x)+7)=0 is No Solution for x\in\mathbb{R}