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

1 + cot^2θ = ? A) tan^2θ B) sec^2θ C) cosec^2θ D) cos^2θ

Advertisements
Advertisements

प्रश्न

1 + cot2θ = ? 

पर्याय

  • tan2θ

  • sec2θ

  • cosec2θ

  • cos2θ

MCQ
Advertisements

उत्तर

cosec2θ

Explanation:

`cot^2θ = (cos^2θ)/(sin^2θ)`

So, `1 + cot^2θ = (sin^2θ + cos^2θ)/(sin^2θ)` 

= `1/(sin^2θ)`

= cosec2θ

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Trigonometry - Exercise

संबंधित प्रश्‍न

Prove the following trigonometric identities.

`(1 + sin θ)/cos θ+ cos θ/(1 + sin θ) = 2 sec θ`


Prove the following trigonometric identities.

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


Prove the following identities:

`sqrt((1 - cosA)/(1 + cosA)) = sinA/(1 + cosA)`


Prove the following identities:

`1 - cos^2A/(1 + sinA) = sinA`


If x = r sin A cos B, y = r sin A sin B and z = r cos A, then prove that : x2 + y2 + z2 = r2


Prove the following identities:

`sqrt((1 + sinA)/(1 - sinA)) = cosA/(1 - sinA)`


Show that none of the following is an identity: 

`sin^2 theta + sin theta = 2`


If tan A = n tan B and sin A = m sin B , prove that  `cos^2 A = ((m^2-1))/((n^2 - 1))`


Write the value of`(tan^2 theta  - sec^2 theta)/(cot^2 theta - cosec^2 theta)`


Prove the following identity :

secA(1 - sinA)(secA + tanA) = 1


Prove the following identity : 

`(cotA + cosecA - 1)/(cotA - cosecA + 1) = (cosA + 1)/sinA`


If secθ + tanθ = m , secθ - tanθ = n , prove that mn = 1


Find the value of x , if `cosx = cos60^circ cos30^circ - sin60^circ sin30^circ`


Prove that:

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


Prove the following identities:
`1/(sin θ + cos θ) + 1/(sin θ - cos θ) = (2sin θ)/(1 - 2 cos^2 θ)`.


Prove that identity:
`(sec A - 1)/(sec A + 1) = (1 - cos A)/(1 + cos A)`


Prove that `(tan θ + sin θ)/(tan θ - sin θ) = (sec θ + 1)/(sec θ - 1)`


If `sin θ + cos θ = sqrt(3)`, then show that tan θ + cot θ = 1.


Eliminate θ if x = r cosθ and y = r sinθ.


Prove that `(1 + tan^2 A)/(1 + cot^2 A)` = sec2 A – 1


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×