Given tanx is 34. you can use the double formula to find tan⁡2x. the teacher wants us to find 3 other doubles like sin⁡2x or cos⁡2x without using the double angle formulas.

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Latisha Oneil · Accepted Answer

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)1−tan2(x)=321−916=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.

Given tanx is 34. you can use the double formula to find tan⁡2x. the teacher...

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