यदि sin θ + {rm{cosec}}θ = {rm{2}} , तो {sin ^2}θ + {rm{cose}}{{rm{c}}^{rm{2}}}θ =

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3.Trigonometrical Ratios, Functions and Identities

easy

यदि $\sin \theta + {\rm{cosec}}\theta = {\rm{2}}$, तो ${\sin ^2}\theta + {\rm{cose}}{{\rm{c}}^{\rm{2}}}\theta = $

A

$1$

B

$4$

C

$2$

D

इनमें से कोई नहीं

Solution

${\sin ^2}\theta + {\rm{cose}}{{\rm{c}}^2}\theta$

$ = {(\sin \theta + {\rm{cosec}}\theta )^2} – 2\sin \theta {\rm{ cosec}}\theta $

$ = {(2)^2} – 2 = 4 – 2 = 2,$

चूँकि $(\sin \theta + {\rm{cosec}}\theta ) = 2.$

Standard 11

Mathematics

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