मराठी

If 1/(1 + sin θ) + 1/(1 – sin θ) = k sec^2θ, then the value of k is ______.

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प्रश्न

If `1/(1 + sin θ) + 1/(1 - sin θ) = k sec^2θ`, then the value of k is ______.

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उत्तर

If `1/(1 + sin θ) + 1/(1 - sin θ) = k sec^2θ`, then the value of k is 2.

Explanation:

`1/(1 + sinθ) + 1/(1 - sinθ) = ((1 - sinθ) + (1 + sinθ))/(1 - sin^2θ)` 

= `2/(cos^2θ)`

= 2 sec2θ

So k = 2.

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पाठ 11: Trigonometric Identities - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [पृष्ठ ११.४४]

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आर.डी. शर्मा Mathematics [English] Class 10
पाठ 11 Trigonometric Identities
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 2. | पृष्ठ ११.४४
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