A community for students.
Here's the question you clicked on:
 0 viewing
yasras
 3 years ago
cot[cos^−1(−1/2) + cos^−1(1/2) + tan^−1(1/3)]
yasras
 3 years ago
cot[cos^−1(−1/2) + cos^−1(1/2) + tan^−1(1/3)]

This Question is Open

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.2\[\cos^{1}(\frac{1}{2})=120\] \[\cos^{1}(\frac{1}{2})=60\] \[\tan^{1}(\frac{1}{3})\] is a mystery to me but so far we have \[\cos(180+\tan^{1}(\frac{1}{3}))\]

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.2now \(\cos(180+x)=\cos(x)\) so your final job is to find \[\cos(\tan^{1}(\frac{1}{3}))\] which is identical to saying "if the tangent is 1/3, what is the cosine? you can do that by drawing a triangle

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.2dw:1353554940402:dw

satellite73
 3 years ago
Best ResponseYou've already chosen the best response.2there is a picture of an angle whose tangent is \(\frac{1}{3}\) by pythagoras the hypotenuse is \(\sqrt{10}\) so the cosine of that angle is \[\frac{3}{\sqrt{10}}\] and so your answer is \[\frac{3}{\sqrt{10}}\]

yasras
 3 years ago
Best ResponseYou've already chosen the best response.0That makes so much sense, thank you for explaining it to me step by step! :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.