Question

If cosec theta +cot theta = x , find the value of cosec theta - cot theta?Pzzzz answer fast!!!!!

Answer 1

now , cot² Ф + 1 = cosec² Ф
⇒cosec² Ф - cot²Ф = 1
⇒(cosecФ - cotФ) * (cosecФ + cotФ) = 1
⇒(cosecФ - cotФ) * x = 1
⇒cosecФ - cotФ = 1/x

Answer 2

Answer:

The value of $cosec\theta-cot\theta = \frac{1}{x}$

Step-by-step explanation:

Given $cosec\theta+cot\theta=x$---(1)

/* We know the Trigonometric

identity*/

$\boxed {cosec^{2}\theta-cot^{2}\theta=1}$

$(Cosec\theta+cot\theta)(cosec\theta-cot\theta)=1$\* By an algebraic identity *\

$\boxed { a^{2}-b^{2}=(a+b)(a-b)}$

$\implies x(cosec\theta-cot\theta)=1$

/* From (1) */

$cosec\theta-cot\theta = \frac{1}{x}$

Therefore,

The value of $cosec\theta-cot\theta = \frac{1}{x}$

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