Question

Write the general solution of sinx =1
​

Answer 1

SOLUTION

TO DETERMINE

The general solution of sinx = 1

EVALUATION

Here the given equation is sinx = 1

Now we solve it as below

$\displaystyle \sf{ \sin x = 1}$

$\displaystyle \sf{ \implies \sin x = \sin \frac{\pi}{2} }$

$\displaystyle \sf{ \implies x = n\pi + {( - 1)}^{n} \frac{\pi}{2} }$

Where n is an integer

FINAL ANSWER

Hence the required solution is

$\displaystyle \sf{ x = n\pi + {( - 1)}^{n} \frac{\pi}{2} }$

Where n is an integer

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