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The expression that is equivalent to tan(-x)cos2x is tan x − sin2x. The
correct answer between all the choices given is the fourth choice or letter D.
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meerkat18

The equivalent of tan (-x)  cos 2x among the choices can be determined by substituting a value of x. For example, x is equal to 1.The value of tan (-1)  cos (21) is 0.6481. we substitute 1 to each of the choices. The trigonometric terms with the same answer is D. tan (-1)  cos (21) is also 0.6481. Answer is D. 

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