Advertisements
Advertisements
प्रश्न
Prove the following identities:
`cosecA + cotA = 1/(cosecA - cotA)`
Advertisements
उत्तर
L.H.S. = `cosecA + cotA`
= `(cosecA + cotA)/1 xx (cosecA - cotA)/(cosecA - cotA)`
= `(cosec^2A - cot^2A)/(cosecA - cotA)`
= `(1 + cot^2A - cot^2A)/(cosecA - cotA)`
= `1/(cosecA - cotA)` = R.H.S.
APPEARS IN
संबंधित प्रश्न
Prove that:
sec2θ + cosec2θ = sec2θ x cosec2θ
Prove the following trigonometric identities:
`(\text{i})\text{ }\frac{\sin \theta }{1-\cos \theta }=\text{cosec}\theta+\cot \theta `
Prove the following identities:
`sqrt((1 - cosA)/(1 + cosA)) = sinA/(1 + cosA)`
Prove the following identities:
cosec4 A (1 – cos4 A) – 2 cot2 A = 1
Prove the following identities:
(1 + tan A + sec A) (1 + cot A – cosec A) = 2
Prove that
`cot^2A-cot^2B=(cos^2A-cos^2B)/(sin^2Asin^2B)=cosec^2A-cosec^2B`
If `sec theta + tan theta = x," find the value of " sec theta`
If sin θ + sin2 θ = 1 show that: cos2 θ + cos4 θ = 1
Prove that `(cos^2θ)/(sinθ) + sin θ = "cosec" θ`.
(1 + sin A)(1 – sin A) is equal to ______.
