QUESTION IMAGE
Question
find the following without using a calculator. sin(sin^{-1}0.7)=?
Step1: Recall the property of inverse trigonometric functions
For \(y = \sin^{-1}x\), where \(x\in[- 1,1]\) and \(y\in[-\frac{\pi}{2},\frac{\pi}{2}]\), the property \(\sin(\sin^{-1}x)=x\) holds.
Step2: Apply the property to the given expression
Here \(x = 0.7\) (since \(0.7\in[-1,1]\)), so \(\sin(\sin^{-1}0.7)=0.7\).
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
\(0.7\)