What is the general solution for sin(A)=((5.4)(sin(33)))/(6.7) ?

The general solution for sin(A)=((5.4)(sin(33)))/(6.7) is A=0.45444…+360n,A=180-0.45444…+360n

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sin(A)=((5.4)(sin(33)))/(6.7)

sin (A) = \frac{( 5.4 ) ( sin ( 3 3 ^{\circ} ) )}{6.7}

A = 0.45444 \dots + 36 0^{\circ} n, A = 18 0^{\circ} - 0.45444 \dots + 36 0^{\circ} n

Radians

A = 0.45444 \dots + 2 πn, A = π - 0.45444 \dots + 2 πn

Solution steps

sin (A) = \frac{( 5.4 ) ( sin ( 3 3 ^{\circ} ) )}{6.7}

Apply trig inverse properties

sin (A) = \frac{5.4 sin ( 3 3 ^{\circ} )}{6.7}

General solutions for

sin (A) = \frac{5.4 sin ( 3 3 ^{\circ} )}{6.7}

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

A = arcsin (\frac{5.4 sin ( 3 3 ^{\circ} )}{6.7}) + 36 0^{\circ} n, A = 18 0^{\circ} - arcsin (\frac{5.4 sin ( 3 3 ^{\circ} )}{6.7}) + 36 0^{\circ} n

A = arcsin (\frac{5.4 sin ( 3 3 ^{\circ} )}{6.7}) + 36 0^{\circ} n, A = 18 0^{\circ} - arcsin (\frac{5.4 sin ( 3 3 ^{\circ} )}{6.7}) + 36 0^{\circ} n

Show solutions in decimal form

A = 0.45444 \dots + 36 0^{\circ} n, A = 18 0^{\circ} - 0.45444 \dots + 36 0^{\circ} n

sin (4 x) = sin (2 x), - \frac{π}{2} \leq x \leq \frac{π}{2}

sec (3 θ) = 1

cos (3 x) = \frac{1}{2} a + 2

sin (θ) - csc (θ) = 0

sec (x) = \frac{70}{15}

What is the general solution for sin(A)=((5.4)(sin(33)))/(6.7) ?
The general solution for sin(A)=((5.4)(sin(33)))/(6.7) is A=0.45444…+360n,A=180-0.45444…+360n