Advertisements
Advertisements
प्रश्न
Prove the following identities:
`sqrt((1 - cosA)/(1 + cosA)) = sinA/(1 + cosA)`
Advertisements
उत्तर
`sqrt((1 - cosA)/(1 + cosA))`
= `sqrt((1 - cosA)/(1 + cosA) xx (1 + cosA)/(1 + cosA))`
= `sqrt((1 - cos^2A)/(1 + cosA)^2)`
= `sqrt(sin^2A/(1 + cosA)^2)`
= `sinA/(1 + cosA)`
संबंधित प्रश्न
Prove the following identities:
(1 – tan A)2 + (1 + tan A)2 = 2 sec2A
If 2 sin A – 1 = 0, show that: sin 3A = 3 sin A – 4 sin3 A
`sin^2 theta + 1/((1+tan^2 theta))=1`
Show that none of the following is an identity:
(i) `cos^2theta + cos theta =1`
If x= a sec `theta + b tan theta and y = a tan theta + b sec theta ,"prove that" (x^2 - y^2 )=(a^2 -b^2)`
Prove that:
`"tanθ"/("secθ" – 1) = (tanθ + secθ + 1)/(tanθ + secθ - 1)`
Prove that `sqrt((1 + cos A)/(1 - cos A)) = (tan A + sin A)/(tan A. sin A)`
Prove the following identities.
tan4 θ + tan2 θ = sec4 θ – sec2 θ
sin(45° + θ) – cos(45° – θ) is equal to ______.
Let α, β be such that π < α – β < 3π. If sin α + sin β = `-21/65` and cos α + cos β = `-27/65`, then the value of `cos (α - β)/2` is ______.
