QuestionFind the trigonometric functions for angle B given $a=5$ , $b=12$ , $c=13$ : $\sin B$ , $\cos B$ , $\tan B$ , $\sec B$ , $\csc B$ .

Studdy Solution

STEP 1

Assumptions1. We have a right triangle with sides a=5, b=12, c=13. Angle B is the angle opposite to side b3. We have already calculated the sine, cosine, tangent, and secant of angle B4. We need to find the cosecant (csc) of angle B

STEP 2

The cosecant of an angle in a right triangle is defined as the ratio of the hypotenuse to the side opposite the angle. In this case, it is the ratio of side c to side b.
$\csc B = \frac{c}{b}$

STEP 3

Now, plug in the given values for sides c and b to calculate the cosecant of angle B.
$\csc B = \frac{13}{12}$ The cosecant of angle B is13/12. There are no radicals in the answer, and the denominator is already rationalized.

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