What is the value of arcsin((0.95+0.5sin(-pi/2))/(0.5)) ?

The value of arcsin((0.95+0.5sin(-pi/2))/(0.5)) is arcsin((19-10sin(pi/2))/(10))

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arcsin((0.95+0.5sin(-pi/2))/(0.5))

arcsin (\frac{0.95 + 0.5 sin ( - \frac{π}{2} )}{0.5})

arcsin (\frac{19 - 10 sin ( \frac{π}{2} )}{10})

Decimal Notation

1.11976 \dots

Solution steps

arcsin (\frac{0.95 + 0.5 sin ( - \frac{π}{2} )}{0.5})

= arcsin (\frac{\frac{19}{20} + \frac{1}{2} sin ( - \frac{π}{2} )}{\frac{1}{2}})

Use the following property:

sin (- x) = - sin (x)

sin (- \frac{π}{2}) = - sin (\frac{π}{2})

= arcsin (\frac{\frac{19}{20} + \frac{1}{2} ( - sin ( \frac{π}{2} ) )}{\frac{1}{2}})

= arcsin (\frac{19 - 10 sin ( \frac{π}{2} )}{10})

cos (3 0^{\circ}) \cdot 7

cos (3 0^{\circ}) \cdot 4

arctan (\frac{- 18 2}{- 322 - 18 2})

120 cos (1 5^{\circ})

cos (5 \cdot \frac{π}{6})

What is the value of arcsin((0.95+0.5sin(-pi/2))/(0.5)) ?
The value of arcsin((0.95+0.5sin(-pi/2))/(0.5)) is arcsin((19-10sin(pi/2))/(10))