Advertisements
Advertisements
प्रश्न
Prove the following identities:
`(costhetacottheta)/(1 + sintheta) = cosectheta - 1`
Advertisements
उत्तर
L.H.S. = `(costhetacottheta)/(1 + sintheta)`
= `(costhetacottheta)/(1 + sintheta) xx (1 - sintheta)/(1 - sintheta)`
= `(costhetacottheta(1 - sintheta))/(1 - sin^2theta)`
= `(costheta costheta/sintheta(1 - sintheta))/cos^2theta`
= `(1 - sintheta)/sintheta`
= `1/sintheta - 1`
= cosec θ – 1
संबंधित प्रश्न
Prove the following identities:
`(1 - cosA)/sinA + sinA/(1 - cosA)= 2cosecA`
`cot theta/((cosec theta + 1) )+ ((cosec theta +1 ))/ cot theta = 2 sec theta `
If sin θ = `11/61`, find the values of cos θ using trigonometric identity.
Prove the following identity :
( 1 + cotθ - cosecθ) ( 1 + tanθ + secθ)
Find A if tan 2A = cot (A-24°).
Without using trigonometric table, prove that
`cos^2 26° + cos 64° sin 26° + (tan 36°)/(cot 54°) = 2`
Prove the following identities:
`(1 - tan^2 θ)/(cot^2 θ - 1) = tan^2 θ`.
If tan θ – sin2θ = cos2θ, then show that sin2 θ = `1/2`.
Prove that `(1 + sec theta - tan theta)/(1 + sec theta + tan theta) = (1 - sin theta)/cos theta`
Prove that (sec θ + tan θ) (1 – sin θ) = cos θ
