Math Doubts

$\tan{(45^°)}$ value

The value of tan function when angle of right triangle equals to $45^°$ is called tan of angle $45$ degrees. According to sexagesimal system, it is written as $\tan{(45^°)}$ in mathematics.

$\tan{(45^°)} \,=\, 1$

The value of tan of angle $45$ degrees is equal to $1$ exactly and also an integer.

Alternative form

$\tan{(45^°)}$ is alternatively written as $\tan{\Big(\dfrac{\pi}{4}\Big)}$ in circular system and also written as $\tan{(50^g)}$ in centesimal system.

$(1) \,\,\,$ $\tan{\Big(\dfrac{\pi}{4}\Big)} \,=\, 1$

$(2) \,\,\,$ $\tan{(50^g)} \,=\, 1$

Proof

You learnt the exact value of tan of angle $45$ degrees and now, you can learn how to derive $\tan{\Big(\dfrac{\pi}{4}\Big)}$ in trigonometry mathematics.



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