If sine of x equals 1 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

If sine of x equals 1 over 2, what is cos(x) and tan(x)? Explain your steps in complete sentences.

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

Hint: Pythagorean Trig Identity \[\Large \sin^2(x) + \cos^2(x) = 1\]
Ok, so how would I continue off that? May you guide me through the problem please?
since sine is 1/2, squaring that gives you 1/4 you can replace all of sin^2 with 1/4 like this \[\Large \sin^2(x) + \cos^2(x) = 1\] \[\Large \frac{1}{4} + \cos^2(x) = 1\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

now isolate cos(x)
we subract 1/4 from both sides
so now we square root both sides right?
correct on both statements
then how do we get tangent
\[\Large \tan(x) = \frac{\sin(x)}{\cos(x)}\]
Ok, hold on. Let me put everything together.
cos(x) = \[\sqrt{.75}\] is that how it should be written
or \[\Large \sqrt{\frac{3}{4}} = \frac{\sqrt{3}}{\sqrt{4}} = \frac{\sqrt{3}}{2}\]
most books I've seen use \[\Large \frac{\sqrt{3}}{2}\]
oh ok, so \[\tan(x) = \frac{ 1 }{ 2 } /\frac{ \sqrt{3} }{ 2 }\]
Yes correct. Now simplify
How would I do that?
|dw:1439850551781:dw|
|dw:1439850577166:dw|
so the answer is \[\frac{ 1 }{ \sqrt{3} }\]
rationalizing the denominator makes that turn into \[\Large \frac{\sqrt{3}}{3}\]
Thank you so much
no problem

Not the answer you are looking for?

Search for more explanations.

Ask your own question