Question

sec^2 theta - 1 is equal to​

Answer 1

SOLUTION

TO DETERMINE

The value of

$\displaystyle \sf{ { \sec}^{2} \theta - 1 }$

EVALUATION

$\displaystyle \sf{ { \sec}^{2} \theta - 1 }$

$\displaystyle \sf{ = \frac{1}{{ \cos}^{2} \theta} - 1 }$

$\displaystyle \sf{ = \frac{1 - { \cos}^{2} \theta}{{ \cos}^{2} \theta} }$

$\displaystyle \sf{ = \frac{{ \sin}^{2} \theta}{{ \cos}^{2} \theta} }$

$\displaystyle \sf{ = { \tan}^{2} \theta }$

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