Question

HI EVERYONE

PLZ HELP

IT'S URGENT ​

Answer 1

$To.Prove:\frac{cot\theta+cosec\theta-1}{cot\theta-cosec\theta+1} =\frac{1+cos\theta}{sin\theta}$

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$LHS=\frac{cot\theta+cosec\theta-1}{cot\theta-cosec\theta+1}$

$=\frac{cot\theta+cosec\theta-(cosec^2\theta-cot^2\theta)}{cot\theta-cosec\theta+1}$

$=\frac{cot\theta+cosec\theta-(cosec\theta-cot\theta)(cosec\theta-cot\theta)}{cot\theta-cosec\theta+1}$

$=\frac{cot\theta+cosec\theta(1-(cosec\theta-cot\theta)}{cot\theta-cosec\theta+1}$

$=\frac{cot\theta+cosec\theta({1+cosec-cot\theta)}}{cot\theta-cosec\theta+1}$

$=cot\theta+cosec\theta$

$=\frac{cos\theta}{sin\theta} +\frac{1}{sin\theta}$

$=\frac{cos\theta+1}{sin\theta}$

$=\frac{1+cos\theta}{sin\theta}$

$=RHS$

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LHS = RHS

Answer 2

Answer:

→ 2(x − 1) + 5(x − 2) = 5x

→ 2x - 2 + 5x - 10 = 5x

→ 7x - 12 = 5x

→ 7x - 5x = 12

→ 2x = 12

→ x = 12/2

→ x = 6