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verify this trig function.
tanysiny = secy-cosy ?

Sagot :

[tex]LHS\\ \\ =\tan { y } \sin { y } \\ \\ =\frac { \sin { y } }{ \cos { y } } \cdot \sin { y }[/tex]

[tex]\\ \\ =\frac { \sin ^{ 2 }{ y } }{ \cos { y } } \\ \\ =\frac { 1-\cos ^{ 2 }{ y } }{ \cos { y } }[/tex]

[tex]\\ \\ =\frac { 1 }{ \cos { y } } -\frac { \cos ^{ 2 }{ y } }{ \cos { y } } \\ \\ =\sec { y } -\cos { y } \\ \\ =RHS[/tex]
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