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tan θ = sin θ / cos θ

sec θ = 1 / cos θ

sin ² θ + cos² θ = 1 → sin² θ - 1 = - cos² θ

→ tan² θ - sec² θ = (sin θ / cos θ)² - (1 / cos θ)²

= sin² θ / cos² θ - 1 / cos² θ

= (sin² θ - 1) / cos² θ

= - cos² θ / cos² θ

= -1

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7y ago
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7y ago

To simplify or change such expressions, it helps to express everything in terms of sines and cosines.

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7y ago

The answer is -1.

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Q: What is tan squared theta minus sec squared theta simplified?
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