If cos B = 7 over 22, then which of the following is correct?
a. csc B = 7 over 22
b. csc B = 22 over 7
c.sec B = 7 over 22 < ..... this answer is wrong
d.sec B = 22 over 7
For this case we have the following expression: [tex] cos B = 7/22
[/tex] The first thing you should know for this case is the following trigonometric definition: [tex] sec B = 1 / cos B
[/tex] Therefore, substituting the values we have: [tex] sec B = 1 / (7/22)
[/tex] Rewriting the expression we have: [tex] sec B = 22/7
[/tex] Answer: the following is correct: d. sec B = 22 over 7
For cosine = adjacent over hypotenuse; so the given are 7 as adjacent, and 22 as the hypotenuse. The opposite of cosine is secant, which can be computed as hypotenuse over adjacent. So:
