Question

prove that tan theta - cot theta = 2 sin²theta - 1 / sintheta cos theta
answer on paper will be marked BRAINLIEST
HINT : MUST TAKE LHS TO SOLVE THE QUESTION
YOU CAN SEE THE QUESTION IN THE ATTACHMENT ALSO ​

Answer 1

Answer:

hey !!

please go through the attachment for your answer

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Answer 2

Answer:

tanø-cotø=sinø/cosø – cosø/sinø

=(sinø.sinø – cosø.cosø)/(sinø.cosø)

=(sin²ø – cos²ø)/(sinø.cosø)

=(sin²ø – (1-sin²ø))/(sinø.cosø)

=(sin²ø – 1 +sin²ø)/(sinø.cosø)

=(2sin²ø – 1)/(sinø.cosø)

$\tan(a) = \frac{ \sin(a) }{ \cos(a) }$

$\cot(a) = \frac{ \cos(a) }{ \sin(a) }$

${sin}^{2}a + {cos}^{2} a = 1$