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kvasek [131]
3 years ago
13

Simplify: (1-sin^2 x)/(1+tan^2 x)

Mathematics
1 answer:
Sonja [21]3 years ago
4 0

Answer:

cos^{4} x

Step-by-step explanation:

Using the trigonometric identities

1 + tan²x = sec²x and 1 - sin²x = cos²x

secx = \frac{1}{cosx}

Given

\frac{1-sin^2x}{1+tan^2x}

= \frac{cos^2x}{sec^2x}

= \frac{cos^2x}{\frac{1}{cos^2x} }

= cos²x × cos²x

= cos^{4} x

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