Prove the following identity algebraically?

Question

Prove the following identity algebraically?

I know that the LHS can be expanded to 2sintcost. I'm not sure how to solve this problem

1 Answer

Impact of this question

1798 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-05T20:47:22

$"see explanation"$

Explanation:

$"left hand side "=sin2t=2sintcost"$

$"right hand side"$

$=(2tant)/(1+tan^2t)$

$•color(white)(x)1+tan^2t=sec^2tlarrcolor(blue)"Pythagorean identity"$

$=(2tant)/(sec^2t)$

$•color(white)(x)sect=1/cost" and "tant=sint/cost$

$=(2tant)/(1/cos^2t)=2xxsint/costxxcos^2t=2sintcost$

$rArr"LHS "=" RHS"rArr"proved"$

Science

Math

Humanities

... and beyond

Prove the following identity algebraically?

I know that the LHS can be expanded to 2sintcost. I'm not sure how to solve this problem

1 Answer

Explanation:

Related questions

Impact of this question