मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Cos θ . sec θ = ? A) 1 B) 0 C) 1/2 D) sqrt(2)

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प्रश्न

cos θ . sec θ = ?

पर्याय

  • 1

  • 0

  • `1/2`

  • `sqrt(2)`

MCQ
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उत्तर

1

Explanation:

`cos θ . sec θ = cos θ . 1/(cos θ)` 

= 1

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पाठ 6: Trigonometry - Exercise

संबंधित प्रश्‍न

Prove that `(tan^2 theta)/(sec theta - 1)^2 = (1 + cos theta)/(1 - cos theta)`


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(sec2 θ − 1) (cosec2 θ − 1) = 1


Prove the following trigonometric identities.

`(tan^3 theta)/(1 + tan^2 theta) + (cot^3 theta)/(1 + cot^2 theta) = sec theta cosec theta - 2 sin theta cos theta`


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Prove the following identities:

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`("cosec"  theta + cot theta)/("cosec"  theta - cot theta) = ("cosec"  theta + cot theta )^2 = 1 + 2 cot^2 theta + 2  "cosec"  theta cot theta`


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Prove the following identities: sec2 θ + cosec2 θ = sec2 θ cosec2 θ.


Prove that `cot^2 "A" [(sec "A" - 1)/(1 + sin "A")] + sec^2 "A" [(sin"A" - 1)/(1 + sec"A")]` = 0


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