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Question

If cosA=0.5 and cosB=12;find the value of tanAtanB1+tanAtanB

A
22
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B
2+3
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C
2+2
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D
23
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Solution

The correct option is C 23
cosA=0.5
cosA=cos30
A=30
cosB=12
cosB=cos45
B=45
Now, tan30tan451+tan30tan45
= tan30tan451+tan30tan45
= 1311+(13)(1)
= 133+1
= (13)(31)(3+1)(31)
= 3+12331
= 23

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