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Romashka [77]
2 years ago
13

Solution for this one step by step please

Mathematics
2 answers:
Mrrafil [7]2 years ago
8 0

Answer:

D.\:\:\:\:\:\sec^4\theta

Step-by-step explanation:

  • \frac{1+\tan^2\theta}{\cos^2\theta}

  • =\frac{\sec^2\theta}{\cos^2\theta}\:\:\:(\because 1+\tan^2\theta=\sec^2\theta)

  • =\sec^2\theta.\frac{1}{\cos^2\theta}

  • {=\sec^2\theta.{\sec^2\theta}}\:\:\:(\because\frac{1}{\cos^2\theta}=\sec^2\theta)

  • =\sec^4\theta

Hope it helps you in your learning process.

Allisa [31]2 years ago
3 0

Answer:

D

Step-by-step explanation:

using the identities

1 + tan²Θ = sec²Θ and cosΘ = \frac{1}{sec0} , then

\frac{1+tan^20}{cos^20}

= \frac{sec^20}{\frac{1}{sec^20} }

= sec²Θ × sec²Θ

= sec^{4}Θ

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Therefore,

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vlabodo [156]

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