trigonometry question
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hey !!!
Sinx + sin3x
----------------
cosx + cos3x
by using this formula sinC + sinD = 2 sin(C +D)/2 ×cos(C - D)/2
and , cosC + cosD = 2cos(C + D)/2 × cos(C -D)/2
like that ..
2sin(x+3x )/2×cos(C-D)/2
-----------------------------------
2cos(C+D)/2 ×cos(C-D)/2
=> 2sin(4x)/2
--------------------
2cos(C+D)/2
=> 2sin2x/2cos2x
=> tan2x RHS prooved
hope it helps!!!
₹Rajukumar111
Sinx + sin3x
----------------
cosx + cos3x
by using this formula sinC + sinD = 2 sin(C +D)/2 ×cos(C - D)/2
and , cosC + cosD = 2cos(C + D)/2 × cos(C -D)/2
like that ..
2sin(x+3x )/2×cos(C-D)/2
-----------------------------------
2cos(C+D)/2 ×cos(C-D)/2
=> 2sin(4x)/2
--------------------
2cos(C+D)/2
=> 2sin2x/2cos2x
=> tan2x RHS prooved
hope it helps!!!
₹Rajukumar111
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