Help me solve this question.
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Things to know:
1) Let α =a and β = b .
sin a = 2tan (a/2)/(1+tan^2(a/2) )
cos a = [1- tan^2(a/2)] / [1+tan^2(a/2)]
2) cos (a + b ) = cos a cos b - sin a sin b
Steps :
1) First find roots of the quadratic equation .
(shown in pic 1)
2) There are two cases available for two roots .
Case 1: When tan (a/2) = 5/2 and tan( b/2) = 3/4 .(shown in pic 1)
Case 2: When tan (a/2) = 3/4 and tan (b/2) = 5/2
( This will also give same answer )
Final result :
cos (a + b) = -627/725
Hope , you understand my answer and it may help you!
1) Let α =a and β = b .
sin a = 2tan (a/2)/(1+tan^2(a/2) )
cos a = [1- tan^2(a/2)] / [1+tan^2(a/2)]
2) cos (a + b ) = cos a cos b - sin a sin b
Steps :
1) First find roots of the quadratic equation .
(shown in pic 1)
2) There are two cases available for two roots .
Case 1: When tan (a/2) = 5/2 and tan( b/2) = 3/4 .(shown in pic 1)
Case 2: When tan (a/2) = 3/4 and tan (b/2) = 5/2
( This will also give same answer )
Final result :
cos (a + b) = -627/725
Hope , you understand my answer and it may help you!
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sayeem786:
this doesn't have the option mark as brainliest.
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