Math, asked by RanjanKumar14, 1 year ago

Solve , this

{ trigo = 11th , IIT practice set }

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Answers

Answered by Shubhendu8898
4
Hi ...mate.......
here is your solution..
hope it helped you...
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Shubhendu8898: i don't think its an question of iit
Shubhendu8898: ur welcome
Shubhendu8898: ok
Answered by TheLifeRacer
11
Hey !!!

so simple question

As we know that

sinC + sinD = 2sin( C + D)/2* cos ( C - D )/2

and , cosC-cosD = 2sin ( C + D )/2 × sin( D - C ) /2

Using above formula
________________________
cos6¢ - cos4¢
----------------------
sin6¢ + sin4¢

=> 2sin(6¢ + 4¢ )/2× sin(4¢ - 6¢)/2
----------------------------------------------
2sin(6¢ + 4¢ )/2 ×cos(6¢ -4¢)/2

=> 2cos5¢ × -(sin¢)
-----------------------------
2sin5¢ × cos¢

=> - sin¢/cos¢ = - tan¢

hence , here , -tan¢

LHS = RHS prooved

_________________________

Hope it helps you !!!

@Rajukumar111
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