Is 80=arcsin(45.6443*(sin(c))/(35)) ?

The answer to whether 80=arcsin(45.6443*(sin(c))/(35)) is False

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prove 80=arcsin(45.6443*(sin(c))/(35))

prove

80 = arcsin (45.6443 \cdot \frac{sin ( c )}{35})

False

Solution steps

80 = arcsin (45.6443 \cdot \frac{sin ( c )}{35})

Show that the two sides are not equal

For

80 = arcsin (45.6443 \frac{sin ( c )}{35})

plug in

c = 0

arcsin (45.6443 \cdot \frac{sin ( 0 )}{35}) = 0

arcsin (45.6443 \cdot \frac{sin ( 0 )}{35})

= arcsin (\frac{456443}{10000} \cdot \frac{sin ( 0 )}{35})

Use the following trivial identity:

sin (0) = 0

sin (0)

sin (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= arcsin (\frac{456443}{10000} \cdot \frac{0}{35})

= arcsin (\frac{456443}{10000} \cdot \frac{0}{35})

Simplify

= arcsin (0)

Use the following trivial identity:

arcsin (0) = 0

arcsin (0)

x 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 arcsin (x) 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} arcsin (x) 0^{\circ} 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ}

= 0

= 0

The two sides are not equal

\Rightarrow False

sin (0) csc (0) = 1

\frac{( tan ^{2} ( x ) )}{sec ( x )} = sin (x) tan (x)

cos (x) (1 + tan (x))^{2} = sec (x) + 2 sin (x)

cos (x) cot (x) = \frac{1}{sin ( x )} - sin (x)

tan (θ) = \frac{sec ( θ )}{csc ( θ )}

Is 80=arcsin(45.6443*(sin(c))/(35)) ?
The answer to whether 80=arcsin(45.6443*(sin(c))/(35)) is False