Advertisements
Advertisements
प्रश्न
(sec2 θ – 1) (cosec2 θ – 1) is equal to ______.
विकल्प
–1
1
0
2
Advertisements
उत्तर
(sec2 θ – 1) (cosec2 θ – 1) is equal to 1.
Explanation:
(sec2 θ – 1) (cosec2 θ – 1) = tan2 θ.cot2 θ ...`[(∵ sec^2 θ - 1 = tan^2 θ),("cosec"^2 θ - 1 = cot^2 θ)]`
= `tan^2 θ . 1/tan^2 θ`
= 1
APPEARS IN
संबंधित प्रश्न
Prove the following identities:
`cosecA + cotA = 1/(cosecA - cotA)`
`sin^2 theta + 1/((1+tan^2 theta))=1`
Write the value of cosec2 (90° − θ) − tan2 θ.
If cos A + cos2 A = 1, then sin2 A + sin4 A =
Prove the following identity :
`(cot^2θ(secθ - 1))/((1 + sinθ)) = sec^2θ((1-sinθ)/(1 + secθ))`
If secθ + tanθ = m , secθ - tanθ = n , prove that mn = 1
Evaluate:
`(tan 65^circ)/(cot 25^circ)`
If 5 sec θ – 12 cosec θ = 0, then find values of sin θ, sec θ
Prove that `(1 + sec "A")/"sec A" = (sin^2"A")/(1 - cos"A")`
Prove that sin6A + cos6A = 1 – 3sin2A . cos2A
