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Choose the correct alternative: 1 + cot2θ = ? - Geometry Mathematics 2

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प्रश्न

Choose the correct alternative:

1 + cot2θ = ? 

विकल्प

  • tan2θ

  • sec2θ

  • cosec2θ

  • cos2θ

MCQ
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उत्तर

1 + cot2θ = cosec2θ

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Trigonometry - Q.1 (A)

संबंधित प्रश्न

If `x/a=y/b = z/c` show that `x^3/a^3 + y^3/b^3 + z^3/c^3 = (3xyz)/(abc)`.


Prove the following trigonometric identities.

`sqrt((1 - cos theta)/(1 + cos theta)) = cosec theta - cot theta`


Prove the following trigonometric identities.

sec A (1 − sin A) (sec A + tan A) = 1


Prove the following trigonometric identities.

`1/(1 + sin A) + 1/(1 - sin A) =  2sec^2 A`


Prove the following trigonometric identities.

`(1 + sec theta)/sec theta = (sin^2 theta)/(1 - cos theta)`


Prove the following trigonometric identities.

`(cos A cosec A - sin A sec A)/(cos A + sin A) = cosec A - sec A`


Write the value of `(1 - cos^2 theta ) cosec^2 theta`.


Write the value of `(cot^2 theta -  1/(sin^2 theta))`. 


Write the value of `cosec^2 theta (1+ cos theta ) (1- cos theta).`


Eliminate θ, if
x = 3 cosec θ + 4 cot θ
y = 4 cosec θ – 3 cot θ


If sin θ = `11/61`, find the values of cos θ using trigonometric identity.


What is the value of \[\sin^2 \theta + \frac{1}{1 + \tan^2 \theta}\]


If sec θ + tan θ = x, write the value of sec θ − tan θ in terms of x.


Prove the following identity :

`(1 - tanA)^2 + (1 + tanA)^2 = 2sec^2A`


Prove that `(cot "A" + "cosec A" - 1)/(cot "A" - "cosec A" + 1) = (1 + cos "A")/sin "A"`


Without using trigonometric table, prove that
`cos^2 26° + cos 64° sin 26° + (tan 36°)/(cot 54°) = 2`


The value of sin2θ + `1/(1 + tan^2 theta)` is equal to 


Choose the correct alternative:

Which is not correct formula?


(tan θ + 2)(2 tan θ + 1) = 5 tan θ + sec2θ.


If cot θ = `40/9`, find the values of cosec θ and sinθ,

We have, 1 + cot2θ = cosec2θ

1 + `square` = cosec2θ

1 + `square` = cosec2θ

`(square + square)/square` = cosec2θ

`square/square` = cosec2θ  ......[Taking root on the both side]

cosec θ = `41/9`

and sin θ = `1/("cosec"  θ)`

sin θ = `1/square`

∴ sin θ =  `9/41`

The value is cosec θ = `41/9`, and sin θ = `9/41`


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