Advertisements
Advertisements
Question
cot θ + tan θ = cosec θ × sec θ, हे सिद्ध करण्यासाठी खालील कृती पूर्ण करा.
कृती:
डावी बाजू = `square`
= `square/sintheta + sintheta/costheta`
= `(cos^2theta + sin^2theta)/square`
= `1/(sintheta*costheta)` ......`[cos^2theta + sin^2theta = square]`
= `1/sintheta xx 1/square`
= `square`
= उजवी बाजू
Advertisements
Solution
डावी बाजू = cot θ + tan θ
= `bb(costheta)/sintheta + sintheta/costheta`
= `(cos^2theta + sin^2theta)/bb((sintheta*costheta))`
= `1/(sintheta*costheta)` ......[cos2θ + sin2θ = 1]
= `1/sintheta xx 1/bb(costheta)`
= cosecθ × secθ
= उजवी बाजू
APPEARS IN
RELATED QUESTIONS
(sec θ - cos θ)(cot θ + tan θ) = tan θ sec θ
जर tanθ + `1/tanθ` = 2 तर दाखवा की `tan^2θ + 1/tan^2θ` = 2
`tanθ/(secθ - 1) = (tanθ + secθ + 1)/(tanθ + secθ - 1)`
cot2θ - tan2θ = cosec2θ - sec2θ
`1/(1 - sinθ) + 1/(1 + sinθ)` = 2sec2θ
`(sin θ - cos θ + 1)/(sin θ + cos θ - 1) = 1/(sec θ - tan θ)`
sec2θ − cos2θ = tan2θ + sin2θ हे सिद्ध करा.
`(1 + sintheta)/(1 - sin theta)` = (sec θ + tan θ)2 हे सिद्ध करा.
sec2A – cosec2A = `(2sin^2"A" - 1)/(sin^2"A"*cos^2"A")` हे सिद्ध करा.
`(cot "A" + "cosec A" - 1)/(cot"A" - "cosec A" + 1) = (1 + cos "A")/"sin A"` हे सिद्ध करा.
