Question

evaluate tan 36° / cot 54°​

Answer 1

Answer:

tan36⁰ / cot54⁰

tan36⁰ / tan(90⁰-54⁰)

tan36⁰ / tan36⁰

= 1

fo*llow me

Answer 2

$\huge\fcolorbox{red}{cyan}{1}$

Step-by-step explanation:

$\bf \color{red}{some \: common \: terms \: - } \\ {a) \: \sin(90 - \theta ) = \cos( \theta) } \\ b) \: \tan ( 90 - \theta) = \cot( \theta) \\ c) \: \sec(90 - \theta) = \csc( \theta)$

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Now Lets Solve :-

$\frac{\tan(36)}{\cot(54)} \\ =>\frac{\tan(90-54)}{\cot(54)} \\ => \frac{\cot(54)}{\cot(54)} \\ =>\boxed{1}$