Mathematics: Find the exact values of the 6 trigonometric functions

Sin K= Opposide/Hypothenuse so you just go on from there using the proper triangle...

Find the exact values of the 6 trigonometric functions

kiaramccurty

18.03.2021

Step-by-step explanation:

here's the solution :-

in the given figure, the measures of two sides are given so,

let's take the missing side be x

by pythagorous theorem,

=》

${x}^{2} = 13 {}^{2} - 12 {}^{2}$

=》

$x = \sqrt{169 - 144}$

=》

$x = \sqrt{25}$

=》

x = 5

now, taking angle between sides measuring 12 and 13 units as alpha

=》

$\sin( \alpha ) = \frac{5}{13}$

=》

$\cos( \alpha ) = \frac{12}{13}$

=》

$\tan( \alpha ) = \frac{5}{12}$

=》

$\csc( \alpha ) = \frac{13}{5}$

=》

$\sec( \alpha ) = \frac{13}{12}$

=》

$\cot( \alpha ) = \frac{12}{5}$

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