Question

if sin x degree is equal to sin alpha then Alpha is

Answer 1

Given sinx=sinalpha
Therefore X = alpha
Which means alpha = X

Answer 2

Answer:

$x=\alpha$

Step-by-step explanation:

Given that

$sinx=sin\alpha$ ....(1

Now, as we can see that both sinx and $sin\alpha$ are equal in this case, lets taking inverse sin in this case on both sides of equation (1)

$sin^{-1}(sinx)=sin^{-1}(sin\alpha)$

Now simplifying

$sin^{-1}sinx=sin^{-1}sin\alpha$

As we know sin and $sin^{-1}$ are multiplicative inverse of each other , so their product would be 1. That is why our resulting expression would be

$(1)x = (1)\alpha$

$x=\alpha$

This is our correct answer