Question

When \[\sin x = 1\], what does “x” equal?

Answer 1

Hint: The given question is of trigonometry in which the value for any undefined angle “x” associated with sin function is given, which is equal to one, here we need to find the value of this angle for which we have to use the properties associated with trigonometry.

Formula used:
The value of sin function for the value of one is ninety degrees.

Complete step-by-step answer:
here the given question is \[\sin x = 1\], where we need to find the value for the undefined angle “x”, here we will use the formulae of trigonometry which says that the value of sin900, is one.
Applying the given formulae we get:
\[
   \Rightarrow \sin x = 1 \\
   \Rightarrow \sin x = \sin {90^ \circ } \\
   \Rightarrow x = {90^ \circ } \\
 \]
Hence the value of the undefined angle “x” is ninety degree.

Additional Information: Here we have compared the values of sin function, and then find the value of the angle, this method can be used when we know the value for sin function on the other hand of the question.

Note: Here we have used the direct formulae of sin function, there is another method also in which we have to plot the graph of sin function, and for the value of one we have to see the associated angle “x” which would be our required answer.