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Suppose ABC is a right triangle with sides​ a, b, and c and the right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. It is a right triangle

a=8 c=17

Suppose ABC Is A Right Triangle With Sides A B And C And The Right Angle At C Find The Unknown Side Length Using The Pythagorean Theorem And Then Find The Value class=

Sagot :

rosh18

Answer:

[tex]b= \sqrt{ {c}^{2} - {a}^{2} } \\ b = \sqrt{ {17}^{2} - {8}^{2} } \\ = \sqrt{289 - 64 } \\ = \sqrt{225 } \\ b = {15} \\ \\ \sin(b) = \frac{15}{17} \: \: \: \csc(b) = \frac{17}{15} \\ \ \\ [/tex]

[tex]cos(b ) = \frac{8}{17} \: \: \: \sec(b ) = \frac{17}{8} \\ \\ \tan(b) = \frac{15}{8} \: \: \: \cot(b) = \frac{8}{15} \\ \\ hope \: this \: is \: correct...[/tex]