What is the value of cos256∘+cos234∘sin256∘+sin234∘+3tan256∘×tan234∘
A
1
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B
2
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C
3
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D
4
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Solution
The correct option is D 4 cos256∘+cos234∘sin256∘+sin234∘+3tan256∘×tan234∘=sin2(90∘−56∘)+cos234∘cos2(90∘−56∘)+sin234∘+3cot2(90∘−56∘)×tan234∘=sin234∘+cos234∘cos234∘+sin234∘+3cot234∘×tan234∘=1+3=4