Question

find the value of 5 / cot square theta - 5 / cos square theta

Answer 1

Solution :

Here I am using A instead of theta.

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We know the Trigonometric identity:

sec²A - tan²A = 1

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Given ,

5/cot²A - 5/cos²A

= 5 tan²A - 5sec²A

= (-5)[ sec²A - tan²A ]

= -5

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Answer 2

Hey there!

Answer:

-5

Step-by-step explanation:

Given,

$\frac{5}{cot^2 \theta} - \frac{5}{cos^2 \theta}\\\\= 5 \ tan^2 \theta -5 \ sec^2 \theta\\=5(\ tan^2 \theta - \ sec^2 \theta)\\= -5(sec^{2} \theta - tan^2 \theta)\\= -5\times 1 ~~~~~~~~~~~~(\because sec^2 \theta - tan^2 \theta = 1)\\=-5$

Hope It Helps You!