Question

If cosec ɵ – cot ɵ =5 then find cosec ɵ + cot ɵ Class 10

Answer 1

$\huge\underline\bold\purple{ANSWER :}$

We know the trigonometry identity,

↪ cosec² ɵ - cot² ɵ = 1

Thus, we can write it as

➡ (cosec ɵ + cot ɵ)(cosec ɵ - cot ɵ) = 1

• Substitute the value of cosec ɵ - cot ɵ = 5

➡ 5(cosec ɵ + cot ɵ) = 1

➡ cosec ɵ + cot ɵ = 1/5

$\boxed{∴ cosec\;ɵ + cot\;ɵ = 1/5 }$

Step-by-step explanation:

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