Question

Please answer this with full explanation . who answers me in a perfect manner they will be marked as brainliest and thank ur 10 answers. So please answer this with explanation . ( Irrelevant answers will be reported ) ​

Answer 1

THE ANSWER IS B) 1/3 ( tan 36 - tan 6)

PLEASE CHECK THE ATTACHMENT

Answer 2

$\huge\red{Answer}$

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☆☞ [ Verified answer ]☜☆

$Write tan(x) as sin(x)/cos(x).</p><p></p><p>Differentiate using the quotient rule, [DN' — ND' ]/ D^2</p><p></p><p>[cos(x)*cos(x)-sin(x)*-sin(x)] / cos^2(x)</p><p></p><p>= 1/cos^2(x) = sec^2(x)</p><p></p><p>Also,</p><p></p><p>d tan(x) / d x</p><p></p><p>= d [sin(x) / cos(x)] / d x</p><p></p><p>= [cos(x) d sin(x) − sin(x) d cos(x)] / (cos(x) ^ 2)</p><p></p><p>= [cos(x) ^ 2 + sin(x) ^ 2] / (cos(x) ^ 2)</p><p></p><p>= 1 / (cos(x) ^ 2)</p><p></p><p>= sec(x) ^ 2</p><p></p><p>Also, Tan(a+b) = (tan a+tan b)/(1-tan a tan b)</p><p></p><p>applied to a=x, b=h.</p><p></p><p>$

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