Hi there! Can I get some help please? Thanks!

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Hi there! Can I get some help please? Thanks!

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Answer 1 · 2017-09-25T02:59:06

$L H S = \frac{sec θ}{csc θ - cot θ} - \frac{sec θ}{csc θ + cot θ}$ $LHS=sectheta/(csctheta-cottheta)-sectheta/(csctheta+cottheta)$

$= sec θ (\frac{1}{csc θ - cot θ} - \frac{1}{csc θ + cot θ})$ $=sectheta(1/(csctheta-cottheta)-1/(csctheta+cottheta))$

$= sec θ \frac{(csc θ + cot θ) - (csc θ - cot θ)}{{csc}^{2} θ - {cot}^{2} θ}$ $=sectheta((csctheta+cottheta)-(csctheta-cottheta))/(csc^2theta-cot^2theta)$

$= \frac{sec θ \cdot 2 cot θ}{1}$ $=(sectheta*2cottheta)/1$

$= \frac{sec θ \cdot 2 cos θ}{sin θ}$ $=(sectheta*2costheta)/sintheta$

$= \frac{2}{sin θ} = 2 csc θ = R H S$ $=2/sintheta=2csctheta=RHS$

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Hi there! Can I get some help please? Thanks!

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