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find sin2x,cos2x and tan2x if sinx=(5)/(13) and x terminates in quadrant i. sin2x= cos2x= tan2x=

Question

Find sin2x,cos2x and tan2x if sinx=(5)/(13) and x terminates in quadrant I.
sin2x=
cos2x=
tan2x=

Find sin2x,cos2x and tan2x if sinx=(5)/(13) and x terminates in quadrant I. sin2x= cos2x= tan2x=

Solution

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André Profissional · Tutor por 6 anos

Resposta

Given that and terminates in quadrant I, we can find using the Pythagorean identity . Since is in quadrant I, is positive. Now, we can find , , and using the double-angle formulas. Therefore, the values are: