programmerBlack
New member
- Joined
- Aug 15, 2019
- Messages
- 10
Hello,
I'm working on a problem (not-homework), that requires me to find the exact value of tan(15 degrees) using angle addition or subtraction identities. I have found the answer to be sqrt(3) - 3 / sqrt(3) + 3. I found this answer through trial and error. The first one I tried was was using tan (45 - 30), which yielded -1 (wrong) on Khan Academy. The second one I tried was tan(60 - 45), correct on Khan Academy.
My main question is this: How do I properly choose the angles so that my answer is correct the first time? Attached is a sample of my work. Thank you in advance.
I'm working on a problem (not-homework), that requires me to find the exact value of tan(15 degrees) using angle addition or subtraction identities. I have found the answer to be sqrt(3) - 3 / sqrt(3) + 3. I found this answer through trial and error. The first one I tried was was using tan (45 - 30), which yielded -1 (wrong) on Khan Academy. The second one I tried was tan(60 - 45), correct on Khan Academy.
My main question is this: How do I properly choose the angles so that my answer is correct the first time? Attached is a sample of my work. Thank you in advance.