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jeka57 [31]
2 years ago
9

Trigonometric identities Simplify cos^2 theta -1/ 4 sin^2 theta

Mathematics
1 answer:
Veronika [31]2 years ago
4 0

Answer:

B

Step-by-step explanation:

using the identity

sin²x + cos²x = 1 ( subtract 1 from both sides )

sin²x + cos²x - 1 = 0 ( subtract sin²x from both sides )

cos²x - 1 = - sin²x

then

\frac{cos^20-1}{4sin^20}

= \frac{-sin^20}{4sin^20} ← cancel sin²Θ on numerator and denominator

= \frac{-1}{4}

= - \frac{1}{4}

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Step-by-step explanation:

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