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

5/(sin^2θ) – 5cot^2θ, complete the activity given below. Activity: 5/(sin^2θ) – 5cot^2θ = square (1/(sin^2θ) – cot^2θ) = 5(square – cot^2θ) ...[1/(sin^2θ) = square] = 5(1) = square

Advertisements
Advertisements

प्रश्न

`5/(sin^2θ) - 5cot^2θ`, complete the activity given below.

Activity:

`5/(sin^2θ) - 5cot^2θ`

= `square (1/(sin^2θ) - cot^2θ)`

= `5(square - cot^2θ)   ...[1/(sin^2θ) = square]`

= 5(1)

= `square`

रिकाम्या जागा भरा
बेरीज
Advertisements

उत्तर

`5/(sin^2θ) - 5cot^2θ`

= \[\boxed{5}\left(\frac{1}{\text{sin}^2θ} - \text{cot}^2θ\right)\]

= \[5\left(\boxed{\text{cosec}^2θ} - \text{cot}^2θ\right)\]   \[...[\frac{1}{\text{sin}^2θ} = \boxed{\text{cosec}^2θ}]\]

= 5(1)

= \[\boxed{5}\]

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

संबंधित प्रश्‍न

`"If "\frac{\cos \alpha }{\cos \beta }=m\text{ and }\frac{\cos \alpha }{\sin \beta }=n " show that " (m^2 + n^2 ) cos^2 β = n^2`

 


 Evaluate sin25° cos65° + cos25° sin65°


Prove that `sqrt(sec^2 theta + cosec^2 theta) = tan theta + cot theta`


Prove the following trigonometric identities.

`"cosec" theta sqrt(1 - cos^2 theta) = 1`


Prove the following trigonometric identities:

tan2 A + cot2 A = sec2 A cosec2 A − 2


Prove the following trigonometric identities.

`[tan θ + 1/cos θ]^2 + [tan θ - 1/cos θ]^2 = 2((1 + sin^2 θ)/(1 - sin^2 θ))`


Prove the following identities:

`(cotA - cosecA)^2 = (1 - cosA)/(1 + cosA)`


Prove the following identities:

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


cosec4 θ − cosec2 θ = cot4 θ + cot2 θ


Prove the following identities:

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


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


If `secθ = 25/7 ` then find tanθ.


2 (sin6 θ + cos6 θ) − 3 (sin4 θ + cos4 θ) is equal to 


Prove the following identity :

`sec^2A + cosec^2A = sec^2Acosec^2A`


For ΔABC , prove that : 

`tan ((B + C)/2) = cot "A/2`


Evaluate:

sin2 34° + sin2 56° + 2 tan 18° tan 72° – cot2 30°


Prove that `(sec θ - 1)/(sec θ + 1) = ((sin θ)/(1 + cos θ ))^2`


Prove that sec2θ – cos2θ = tan2θ + sin2θ.


If cos A = `(2sqrt(m))/(m + 1)`, then prove that cosec A = `(m + 1)/(m - 1)`.


Which of the following is true for all values of θ (0° ≤ θ ≤ 90°)?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×