What is the general solution for -1=sin(k)(45) ?

The general solution for -1=sin(k)(45) is k=-0.02222…+2pin,k=pi+0.02222…+2pin

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-1=sin(k)(45)

- 1 = sin (k) (45)

k = - 0.02222 \dots + 2 πn, k = π + 0.02222 \dots + 2 πn

Solution steps

- 1 = sin (k) (45)

Switch sides

sin (k) \cdot 45 = - 1

Divide both sides by

45

sin (k) = - \frac{1}{45}

Apply trig inverse properties

k = arcsin (- \frac{1}{45}) + 2 πn, k = π + arcsin (\frac{1}{45}) + 2 πn

Show solutions in decimal form

k = - 0.02222 \dots + 2 πn, k = π + 0.02222 \dots + 2 πn

- 494 cos (A) = - 241

3 sin (θ) cos (θ) = sin (θ)

cos^{2} (x) = 5

sec^{2} (x) - 4 tan (x) = 0

3 sin (2 x) = 6 sin (x)

What is the general solution for -1=sin(k)(45) ?
The general solution for -1=sin(k)(45) is k=-0.02222…+2pin,k=pi+0.02222…+2pin