If cos A = 12/13, verify that sin ( 1 - tan A ) = 35/156
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Answered by
28
cos A = 12/13
sin ^2 A = 1 - cos ^2 A
= 1- (12/13)^2
= 1 - 144/169
= (169 -144)/169
=25/169
therefore
sin A = 5/13
tan A = sin A / cos A = (12/13)/(5/13) = 12/5
lhs = sin A(1-tan A) = 12/13 *( 1 - 12/5)
= 12/13 * (-5-12)/5
=12/13 * (-17)/5
=- (12*17)/65
this is not equal to rhs
sin ^2 A = 1 - cos ^2 A
= 1- (12/13)^2
= 1 - 144/169
= (169 -144)/169
=25/169
therefore
sin A = 5/13
tan A = sin A / cos A = (12/13)/(5/13) = 12/5
lhs = sin A(1-tan A) = 12/13 *( 1 - 12/5)
= 12/13 * (-5-12)/5
=12/13 * (-17)/5
=- (12*17)/65
this is not equal to rhs
Answered by
3
Step-by-step explanation:
hence proved Mark as brilliant ok
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