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What is the answer for sin ( cos -1 (square root of - 2 divided by 2)?
Wiki User
∙ 9y ago
If you mean the complex number √-2, then: hopefully someone else can answer (sorry).
If not, then sin(arc cos((√2)/2)) = (√2)/2
Cosine is the ratio of adjacent/hypotenuse.
Using Pythagoras the third side, opposite the angle, can be found:
2² = opposite² + (√2)²
→ 4 = opposite² + 2
→ opposite² = 2
→ opposite = √2
Then:
θ = arc cos((√2)/2)
→ cos θ = (√2)/2
→ sin θ = (√2)/2
Wiki User
∙ 9y ago
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