Question

what is tan 36 cosec 36 pls answer fast​

Answer 1

$\bold{TRIGONOMETRY \:\:FACTS : }$

✔ Trigonometry is the study of relationships between the sides and the angles of a triangle. 

✔ The general trigonometric ratios are sin theta, cos theta, tan theta, sec theta, cosec theta and cot theta. 

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We all know a triangle has three parts : base, height and hypotenuse.

✔ Sin theta = height/hypotenuse. 

✔ Cos theta = base/hypotenuse. 

✔ tan theta = height /base. 

✔ cot theta = base/height. 

✔ sec theta = hypotenuse/base. 

✔ cosec theta = hypotenuse/height. 

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Now, Let us have a look into the solution :-

$tan \: 36 \: \: \: cosec \: \:36$

$= \frac{sin \: 36}{cos \: 36} \times \frac{1}{sin \: 36}$

$= \frac{1}{cos \: 36}$

$= \: sec \: 36$