Question

Please help! Evaluate without using trigonometric tables on calc:
(sin45degrees)(cos30degrees)/sec45degrees
a. 1/4
b. sqrt.3/4
c. sqrt.3/2
d. sqrt.3

Answer 1

sin(45)cos(30)/sec(45)

sec(x) = 1/cos(x)

so we have

sin(45)cos(30)/1/cos(45)

Answer 2

So b.?

Answer 3

sin(45) = (2)^(1/2)/2
cos(45) = 2^(1/2)/2
cos(30) = 3^(1/2)/2

Answer 4

based on memory

Answer 5

so you have

\[(\frac{\sqrt{2}}{2})(\frac{\sqrt{2}}{2})(\frac{\sqrt{3}}{2})\]

Answer 6

as


sin(45)cos(30)/1/cos(45)
=
sin(45)cos(30)cos(45)

Answer 7

\[\large \sin(45) = \cos(45) = \frac{1}{\sqrt{2}}\]

\[\cos(30) = \frac{\sqrt{3}}{2}\]

Answer 8

(2)^(1/2)*(2)^(1/2) = 4^(1/2) = 2

Answer 9

Thanks guy! So the final answer is C. sqrt.3/2

Answer 10

i think you are messing up your fraction mulitplication

Answer 11

Remember