Find the Exact Value 2cos(157.5)^2-1

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Trigonometry

$2 \cos^{2} (157.5) - 1$

Apply the cosine double-angle identity.

$\cos (2 \cdot 157.5)$

Multiply $2$ by $157.5$ .

$\cos (315)$

The result can be shown in multiple forms.

Exact Form:

$\cos (315)$

Decimal Form:

$0.70710678 \dots$

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