If tan 32 is approx. (5/8),--that says five-eighths--find tan 58 without using a table or calculator. How would I do this?
2007-02-07 14:57:09 · 4 answers · asked by Muffins 1 in Education & Reference ➔ Homework Help
Imagine a right triangle with angles 32, 58, and 90. tan32 is opposite/adjacent from the 32 degree angle. tan58 is opposite/adjacent from the 58 degree angle, which is also adjacent/opposite from the 32 degree angle. Therefore, tan58 is approximately 8/5. It might be easier to see if you draw a picture.
2007-02-07 15:11:30 · answer #1 · answered by Q 2 · 0⤊ 0⤋
you use a right triangle
your 3 angles are 90 degrees, 32degrees, and 58 degrees.
if the tan 32 is 5/8 using sohcahtoa :
you know that the opposite side of the triangle from angle 32 is 5 and the adjacent is 8.
from there you can tell that the tan58 is 8/5 just by looking at the diagram and using sohcahtoa
2007-02-07 23:11:29 · answer #2 · answered by monkeychik89 2 · 0⤊ 0⤋
32 X 100
2007-02-07 23:03:40 · answer #3 · answered by Anonymous · 0⤊ 0⤋
it's simple actually
we have the result tan(90-x)=cot x.
so tan 58=tan (90-32)=cot 32.
now tan32=1/cot32.
so cot 32=8/5.
therefore tan 58=8/5.
2007-02-07 23:05:20 · answer #4 · answered by Franklin 3 · 0⤊ 0⤋