Question

If cosec2 .(1+cos ). (1-cos )= λ, then the value of λ is

Answer 1

Answer:

cosec^2 . (1^2-cos^2)

cosec^2 . sin^2

1/sin^2 . sin^2

=1

Answer 2

$\bf \underline{Question : }$

$If \: \: cosec ^{2} \theta \: \: (1+cos \theta) \: \: . \: \: (1-cos \theta) \: \: = \: \: λ, \: \: then \: \: the \: \: value \: \: of \: \: λ \: \: is \: \:$

$\bf \underline{Answer : }$

$\sf \implies \: {cosec}^{2} \theta \: (1 + cos \: \theta)(1 - cos \: \theta) = λ \\ \\ \sf \implies \: {cosec}^{2} \theta \: (1 + cos \: \theta) ^{2} = λ \\ \\ \sf \implies \: {cosec}^{2} \theta \:. {sin}^{2} \: \theta = λ \\ \\ \sf \implies \:λ = 1$