Answered: "Prove that sin(π-x)=sin(x)"

Jasiah Carlson

Answered question

2023-03-03

Prove that

\sin (π - x) = \sin (x)

Answer & Explanation

Edward Hunter

Beginner2023-03-04Added 5 answers

To prove

\sin (π - x) = \sin (x)

we will use sine Subtraction formula.

\sin (a - b) = \sin (a) \cos (b) - \cos (a) \sin (b)

Let's suppose

a = π a n d b = x

\sin (π - x) = \sin (π) \cos (x) - \cos (π) \sin (x)

= 0 \times c o s (x) - (- 1) \times s i n (x) = 0 + \sin (x) = s i n (x)

Thus, LHS = RHS
Hence, Proved.

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