Question

if cosec2 ∅- cot2 ∅= x represent trigonometric identify then finx x ​

Answer 1

Answer:

x = 1

Step-by-step explanation:

By the identity ,

1 + cot^∅ = cosec2 ∅

1 = cosec2 ∅ - cot^∅

cosec2 ∅ - cot^∅ = 1

Therefore , the value of x is 1.

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Answer 2

Question :

if cosec2 ∅- cot2 ∅= x represent trigonometric identify then find x

To find :

The value of x

Solution :

$\sf cosec \theta - cot \theta$

$\sf We \: know \: that \: cosec \: \theta = \frac{1}{sin \theta}$

$\sf whereas \: cot \theta = \frac{cos\theta}{sin \theta}$

Now,

$\sf {cosec}^{2} \theta - {cot}^{2} \theta =x$

$\sf x=\frac{1}{ {sin}^{2}\theta } - \frac{ {cos}^{2} \theta}{sin^{2} \theta }$

$\sf x=\frac{1 - {cos}^{2} \theta }{ {sin}^{2} \theta }$

• sin²∅ + cos²∅ = 1
• sin²∅ + cos²∅ = 1sin²∅ = 1 – cos²∅

$\sf x = \frac{sin^{2} \theta}{sin ^{2} \theta }$

$\sf \: x = 1$

• Hence the value of x is 1