Question

find the value of 6 tan square theta - 6 upon cos square theta​

Answer 1

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Solution

Answer 2

The required value of the expression is -6.

Step-by-step explanation:

Consider the provided information.

$6\tan^2\theta-\dfrac{6}{\cos^2\theta}$

$=6\left(\tan^2\theta-\dfrac{1}{\cos^2\theta}\right)$

$=6\left(\tan^2\theta-\sec^2\theta\right)$

$=-6\left(\sec^2\theta-\tan^2\theta\right)$

$=-6(1)$ (∵sec²θ-tan²θ=1)

$=-6$

Hence, the required value of the expression is -6.

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Find the value of 6 tan square A-6 sec square A

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