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Question

If cosxcosy=2 and cos(xy)=32 then y=

A
tan1(2.266)
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B
tan1(2.266)
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C
both a and b
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D
none
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Solution

The correct option is B both a and b
cos(xy)=32
xy=π6,π6
cosxcosy=2
cosx=2cosy

when, x=y+π6
cosx=cos(y+π6)=2cosy
32cosy12siny=2cosy
(322)cosy=12siny
1.134×cosy=12siny
tany=2.268
y=tan1(2.268)

when x=yπ6
cos(yπ6)=2cosy
32cosy+12siny=2cosy
tany=2.268
y=tan1(2.268)
(a) and (b) both.

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