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Question

If A+B+C=π , then secA (cosB cosCsinB sinC) is equal to__________

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Solution

Given,
A+B+C=π

B+C=πA

secA(cosBcosCsinBsinC)

=secAcos(B+C).................................(cos(c+d)=cosccosdsincsind)

=secAcos(πA)

=secA(cosA)

=1

The answer is 1

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