Question #274ab

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Question #274ab

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Answer 1 · 2017-08-29T23:32:53

sin B = b/c
cos B = a/c

Explanation:

the formula for sin is sin(an angle) = $\frac{o p p o s i t e}{h y p o t e ν s e}$ $(opposite)/(hypotenuse)$
so since c is the side length of the hypotenuse and b is the side opposite of Angle B then the $sin B = \frac{b}{c}$ $sin B = b/c$

the formula for cos is cos(an angle) = $\frac{a d j a c e n t}{h y p o t e ν s e}$ $(adjacent)/(hypotenuse)$
since a is the side adjacent to Angle B and c is the hypotenuse the $cos B = \frac{a}{c}$ $cos B = a/c$

$sin (θ) = \frac{o}{h}$ $sin(theta)= o/h$ soh
$cos (θ) = \frac{a}{h}$ $cos(theta) = a/h$ cah
$tan (θ) = \frac{o}{a}$ $tan(theta) = o/a$ toa

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Question #274ab

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