Math, asked by Manpreetkaur1111, 1 year ago

tan15°.+cot15°=4 prove that

Answers

Answered by Anonymous
5
Hey..... !!! here is ur answer......
I hope it helps u...........
THANK YOU.........!!!!!!!!


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Manpreetkaur1111: thank u
Answered by Anonymous
0
HEY DEAR ...✌


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tan 15 = tan (45 - 30) 

.. .. tan 60 - tan 45 
= ------------------------- 
.. .1 + tan 60 tan 45 

.. .. √3 - 1 
= ------------ 
.. .. 1 + √3 

.. .. √3 - 1 
= ------------ 
.. .. √3 + 1 

cot 15 = 1 / tan 15 

.. .. √3 + 1 
= ------------ 
.. .. √3 - 1 

tan 15 - cot 15 

.. .. √3 - 1 .. .. .. .. √3 + 1 
= ------------ .. + .. -------------- 
.. .. √3 + 1 .. .. .. ..√3 - 1 

.. .. (√3 - 1)² + (√3 - 1)² 
= -------------------------------- 
.. .. .. .. ..3 - 1 

.. .. (3 - 2√3 + 1) + (3 + 2√3 + 1) 
= ----------------------------------------... 
.. .. .. .. .. .. .. 3 - 1 

= 8/2 = 4


HOPE , IT HELPS ... ✌

Manpreetkaur1111: thank u
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