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Question

If f(x)=cosxsinx0sinxcosx0001 then f(α+β)=

A
f(α)+f(β)
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B
f(α).f(β)
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C
f(α)f(β)
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D
0
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Solution

The correct option is B f(α).f(β)
f(α).f(β)=cosαsinα0sinαcosα0001cosβsinβ0sinβcosβ0001=cos(α+β)sin(α+β)0sin(α+β)cos(α+β)0001

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