Find the exact value of sin5pi/4

asked Mar 1, 2023 15.5k views

12 votes

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5 votes

Answer:

-(√(2) )/(2)

Explanation:

Trig unit circle shows -->

$\text{sin}({(5\pi )/(4 ))=-\text{sin}((\pi )/(4) )$

Trig Table of Special Arcs gives -->
$\text{sin}((\pi )/(4) )=(√(2) )/(2)$ , therefore:

$sin((5\pi )/(4) )=-(√(2) )/(2)$

Ruslash answered Mar 8, 2023

2.7k points

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