Question

find the value of sec c​

Answer 1

SOLUTION

TO DETERMINE

The value of sec C from the given figure

EVALUATION

We take a point D on the figure

From the given figure

BD = 4 unit

BC = 12 unit

By Pythagorean Theorem

CD

$\sf{ = \sqrt{ {12}^{2} - {4}^{2} } \: \: \: unit}$

$\sf{ = \sqrt{ 144 - 16 } \: \: \: unit}$

$\sf{ = \sqrt{ 128 } \: \: \: unit}$

$\sf{ =8 \sqrt{ 2 } \: \: \: unit}$

∴ sec C

$\displaystyle \sf{ = \frac{BC}{CD} }$

$\displaystyle \sf{ = \frac{12}{8 \sqrt{2} } }$

$\displaystyle \sf{ = \frac{3}{2 \sqrt{2} } }$

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