2 years ago

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

Mathematics

1 answer:

Veronika [31]2 years ago

4 0

Answer:

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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