Given tanx is 3/4. you can use the double formula to find tan2x. the teacher wants us to find 3 other doubles like sin2x or cos2x without using the double angle formulas.

opatovaL 2020-10-28 Answered
Given tanx is 34. you can use the double formula to find tan2x. the teacher wants us to find 3 other doubles like sin2x or cos2x without using the double angle formulas.
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Expert Answer

Latisha Oneil
Answered 2020-10-29 Author has 100 answers
If tan(x)=34, then sin(x)=35andcos(x)=45, because of Pythagoras’ Theorem.
This is the 3-4-5 right triangle. tan(2x)=2tan(x)1tan2(x)=321916=247.
If the legs of a right triangle are 24 and 7, the hypotenuse is 242+72=576+49=625=25.
So sin(2x)=2425 and cos(2x)=725.
cot(2x)=724,csc(2x)=2524,sec(2x)=257.
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