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Popular >

A=2sin(30+x)-cos(x)

Solution

A = 2 sin (3 0^{\circ} + x) - cos (x)

Solution

x = arcsin (\frac{3 A}{3}) + 36 0^{\circ} n, x = 18 0^{\circ} + arcsin (- \frac{3 A}{3}) + 36 0^{\circ} n

+1

Solution steps

A = 2 sin (3 0^{\circ} + x) - cos (x)

Switch sides

2 sin (3 0^{\circ} + x) - cos (x) = A

Rewrite using trig identities

3 sin (x) = A

Subtract

A

from both sides

3 sin (x) - A = 0

Move

A

to the right side

3 sin (x) = A

Divide both sides by

3

sin (x) = \frac{3 A}{3}

Apply trig inverse properties

x = arcsin (\frac{3 A}{3}) + 36 0^{\circ} n, x = 18 0^{\circ} + arcsin (- \frac{3 A}{3}) + 36 0^{\circ} n

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