please evaluate
Asked by sunil_0010
| 31st Oct, 2009,
08:50: PM
Expert Answer:
LHS =
(tanA-tanB)2+(1+tanA.tanB)2=
(sinA/cosA - sinB/cosB)2 + (1 + sinAsinB/(cosAcosB))2 =
[(sinAcosB - sinBcosA)/(cosAcosB)]2 + [(cosAcosB + sinAsinB)/(cosAcosB)]2 =
[sin(A - B)/(cosAcosB)]2 + [cos (A - B)/(cosAcosB)]2 =
[sin2(A - B) + cos2 (A - B)]/(cosAcosB)2 =
1/(cosAcosB)2 = sec2Asec2B
= RHS
Regards,
Team,
TopperLearning.
Answered by
| 31st Oct, 2009,
10:22: PM
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