Question

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

Answer 1

For this case we have the following expression:

`cos B = 7/22`
The first thing you should know for this case is the following trigonometric definition:

`sec B = 1 / cos B`
Therefore, substituting the values we have:

`sec B = 1 / (7/22)`
Rewriting the expression we have:

`sec B = 22/7`
Answer:
the following is correct:
d. sec B = 22 over 7

Answer 2

The answer is Letter 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:

sec B = 22 over 7