What is the general solution for -494cos(A)=-241 ?

The general solution for -494cos(A)=-241 is A=1.06116…+2pin,A=2pi-1.06116…+2pin

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-494cos(A)=-241

- 494 cos (A) = - 241

A = 1.06116 \dots + 2 πn, A = 2 π - 1.06116 \dots + 2 πn

Degrees

A = 60.80035 \dots^{\circ} + 36 0^{\circ} n, A = 299.19964 \dots^{\circ} + 36 0^{\circ} n

Solution steps

- 494 cos (A) = - 241

Divide both sides by

- 494

- 494 cos (A) = - 241

Divide both sides by

- 494

\frac{- 494 cos ( A )}{- 494} = \frac{- 241}{- 494}

Simplify

cos (A) = \frac{241}{494}

cos (A) = \frac{241}{494}

Apply trig inverse properties

cos (A) = \frac{241}{494}

General solutions for

cos (A) = \frac{241}{494}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

A = arccos (\frac{241}{494}) + 2 πn, A = 2 π - arccos (\frac{241}{494}) + 2 πn

A = arccos (\frac{241}{494}) + 2 πn, A = 2 π - arccos (\frac{241}{494}) + 2 πn

Show solutions in decimal form

A = 1.06116 \dots + 2 πn, A = 2 π - 1.06116 \dots + 2 πn

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)

sin (x) = \frac{1}{3} \cdot cos (x)

What is the general solution for -494cos(A)=-241 ?
The general solution for -494cos(A)=-241 is A=1.06116…+2pin,A=2pi-1.06116…+2pin