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

Prove that sinθ+tanθcothη = tan θ(1 + sec θ) - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Prove that `(sintheta + tantheta)/cos theta` = tan θ(1 + sec θ)

बेरीज

उत्तर

L.H.S = `(sintheta + tantheta)/cos theta`

= `sintheta/costheta + tantheta/costheta`

= tan θ + tan θ sec θ

= tan θ(1 + sec θ)

= R.H.S

∴ `(sintheta + tantheta)/cos theta` = tan θ(1 + sec θ)

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Trigonometry - Q.2 (B)

संबंधित प्रश्‍न

If cos θ + cot θ = m and cosec θ – cot θ = n, prove that mn = 1


`sin^2 theta + 1/((1+tan^2 theta))=1`


If `cot theta = 1/ sqrt(3) , "write the value of" ((1- cos^2 theta))/((2 -sin^2 theta))`


If `sqrt(3) sin theta = cos theta  and theta ` is an acute angle, find the value of θ .


What is the value of \[\frac{\tan^2 \theta - \sec^2 \theta}{\cot^2 \theta - {cosec}^2 \theta}\]


If \[\cos A = \frac{7}{25}\]  find the value of tan A + cot A. 


Prove the following identity :

`(tanθ + secθ - 1)/(tanθ - secθ + 1) = (1 + sinθ)/(cosθ)`


Prove the following identity : 

`sin^4A + cos^4A = 1 - 2sin^2Acos^2A`


Prove the following identity : 

`sinA/(1 + cosA) + (1 + cosA)/sinA = 2cosecA`


Prove the following identity :

`tanA - cotA = (1 - 2cos^2A)/(sinAcosA)`


Prove the following identity : 

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


Prove the following identity : 

`tan^2A - tan^2B = (sin^2A - sin^2B)/(cos^2Acos^2B)`


Prove the following identity :

`(tanθ + sinθ)/(tanθ - sinθ) = (secθ + 1)/(secθ - 1)`


Evaluate:

`(tan 65^circ)/(cot 25^circ)`


Prove that the following identities:
Sec A( 1 + sin A)( sec A - tan A) = 1.


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


Choose the correct alternative:

sin θ = `1/2`, then θ = ?


Prove that 2(sin6A + cos6A) – 3(sin4A + cos4A) + 1 = 0


The value of the expression [cosec(75° + θ) – sec(15° – θ) – tan(55° + θ) + cot(35° – θ)] is ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×