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Prove the Identity cot2xcscx+1=1sinxsinx\frac { \cot ^ { 2 } x } { \csc x + 1 } = \frac { 1 - \sin x } { \sin x }

question 79

Essay

Prove the identity.
- cot2xcscx+1=1sinxsinx\frac { \cot ^ { 2 } x } { \csc x + 1 } = \frac { 1 - \sin x } { \sin x }


Definitions:

Sr

Strontium, a chemical element with symbol Sr and atomic number 38, known for its bright-red flames in fireworks.

Isotope

Variants of a particular chemical element which differ in neutron number, and consequently in nucleon number, but have the same number of protons.

Isotope

Forms of a specific chemical element distinguished by having identical proton counts yet varying quantities of neutrons within their cores.

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