Find the sine, cosine, and tangent of angle A. Give your answer as a fraction in simplest form
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Answer:
3/5, 4/5, 3/4
Step-by-step explanation:
First BC is 12 because of the Pythagorean Theorem. I use sohcahtoa to remember. sine is the side opposite of the angle divided by the hypotenuse of the triangle so 12/20 which is 3/5. cosine is adjacent / hypotenuse so 16/20 which is 4/5, and lastly tangent is opposite / adjacent which is 12/16 which is 3/4
The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
Here first we determine the BC by applying the Pythagorean Theorem.
[tex]= 20^2 - 16^2\\\\= 400 - 256\\\\= 144[/tex]
So the BC should be 12
hence, based on this, we can say that The sine, cosine and the tangent of angle should be [tex]3\div 5, 4\div 5, 3\div 4[/tex].
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