Answer The Value? 96Sin65° Sin35° Sin80°/Sin20° +2Sin80° Cos30°

Answer The Value?
(96Sin65° Sin35° Sin80°)/(Sin20° +2Sin80° Cos30°)

1 Answer
May 21, 2018

24.

Explanation:

Here, "the Nr."=96sin65^@sin35^@sin80^@,

=48{2sin65^@sin35^@}sin80^@,

=48{cos(65^@-35^@)-cos(65^@+35^@)}sin80^@,

=48{cos30^@-cos100^@}sin80^@,

=48{sqrt3/2-cos(180^@-80^@)}sin80^@,

=48{sqrt3/2-(-cos80^@)}sin80^@,

=24sqrt3+48cos80^@sin80^@,

=24sqrt3+24(2cos80^@sin80^@),

=24sqrt3+24sin(2xx80^@),

=24(sqrt3+sin160^@),

=24{sqrt3+sin(180^@-20^@)},

rArr" Nr."=24(sqrt3+sin20^@).

Further, "the Dr."=sin20^@+2sin80^@cos30^@,

=sin20^@+2*sin80^@*sqrt3/2,

=sin20^@+sqrt3sin80^@.

Henc, "the reqd. Value of the Exp.=(Nr.)/(Dr.)="24.