
Trigonometry Answers

Let's see how you got on:

 Find H using pythagoras.
H² = 4² + 2² = 20 ... H = 4.47
 Find tanF° then inverse to find F°.
tanF° = 2 ÷ 4 = 0·5 ... F° = invtan 0·5 = 26.57°
 Find sinG° and consequently G°
sinG° = 4 ÷ 4.47 = 0.89 ...
G° = invsin 0.89 = 63.49°
 Check that 90° + F° + G° = 180°
90° + 63.49° + 26.57° = 180.06 (close enough!)
 Finally check that cosF° when inversed gives you the same answer for F°
cosF° = 4 ÷ 4.47 = 0.89 ...
invcos 0.89 = 26.51° (close enough!)

If you coped with all of the above, you'll be able to cope with anything!
