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Which of the following is equivalent to three cot 43 degrees?
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(A) Three tan of 47 degrees.
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(B) Three tan of 133 degrees.
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(C) Negative three tan of 47 degrees.
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(D) Six tan of 43 degrees.
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Or (E) negative six tan of 133 degrees.
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Based on the options we have, we can see that weβre trying to take this cotangent value and rewrite it in the form of a tangent value.
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Recall the cofunction identity that tells us that the tan of 90 degrees minus π equals the cot of π.
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In this case, we can let 43 degrees equal π.
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Therefore, tan of 90 degrees minus 43 degrees equals the cot of 43 degrees.
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tan of 47 degrees equals the cot of 43 degrees, which means that three times the tan of 47 degrees is equal to three times the cot of 43 degrees.
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This is expressed in option (A).
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Three tan of 47 degrees is equal to three cot of 43 degrees.