Question

5) find the value of ii) cosec^2 30° - cot^2 30°​

Answer 1

Answer:

since ,

cosec²∅ - cot²∅ = 1

so,

cosec²30° - cot²30° = 1

where , ∅ = 30 °.

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Step-by-step explanation:

other important formula :

1. sin²∅ + cos²∅ = 1

2 .. sec²∅ - tan²∅ = 1

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Answer 2

$\green{\bold{\underline{ ☆ UPSC-ASPIRANT ☆} }}$

$\red{\bold{\underline{\underline{QUESTION:-}}}}$

Q:-find the value of ii) cosec^2 30° - cot^2 30°

$\huge\tt\underline\blue{ANSWER }$

------>>>>Here is your answer<<<<--------

$⟹ {cosec}^{2} 30 = 2$

$⟹ {cot}^{2} 30 = \sqrt{3}$

$⟹ {cosec}^{2} 30 - {cot}^{2} 30 = {(2)}^{2} - {( \sqrt{3} )}^{2} = (2 + \sqrt{3} )(2 - \sqrt{3} )✓$

OR

⇛${cosec}^{2} 30 - {cot}^{2} 30$=1. ✓

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