How do you calculate #sin ( sin^ -1 ( 3/8))#?

2 Answers
May 20, 2018

Answer:

#color(purple)(=> 0.375529^c# or #color(brown)(21.5^@#

Explanation:

#sin (sin ^-1 (3/8)#

#sin^-1 (3/8) = 0.384397#

#=> sin (0.384397)#

#color(purple)(=> 0.375529^c# or #color(brown)(21.5^@#

May 24, 2018

Answer:

#sin arcsin(3/8) = 3/8#

Explanation:

I never use the #-1# power notation for the inverse trig functions -- it's awful.

I treat #arcsin(x) # as a multivalued expression, all the angles whose sine is #x.#

Even though #arcsin(x)# is multivalued, there's only one value for it's sine,

#sin arcsin x = x#

Here

#sin arcsin(3/8) = 3/8#