sin(t)=cos(pi/2-t)

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The identity
sin(t)=cos(π/2-t)
is easily proved by forming a rectangle using two identical right triangles. This Demonstration compares the curves
y=sin(t)
and
y=cos(α-t)
. The curves align when
α=π/2
.

External Links

Cosine (Wolfram MathWorld)
Sine (Wolfram MathWorld)
SOHCAHTOA (Wolfram MathWorld)

Permanent Citation

Jon Perry
​
​"sin(t)=cos(pi/2-t)"​
​http://demonstrations.wolfram.com/SinTCosPi2T/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011