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Trigonometry Answers
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Let's see how you got on:
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- Find H using pythagoras.
H² = 4² + 2² = 20 ... H = 4.47
- Find tanF° then inverse to find F°.
tanF° = 2 ÷ 4 = 0·5 ... F° = inv-tan 0·5 = 26.57°
- Find sinG° and consequently G°
sinG° = 4 ÷ 4.47 = 0.89 ...
G° = inv-sin 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 ...
inv-cos 0.89 = 26.51° (close enough!)
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If you coped with all of the above, you'll be able to cope with anything!
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