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Use trigonometric identities to write each expression in terms of a single trigonometric function or a constant. simplify cos t sin t?
Wiki User
∙ 14y ago
Thanks to the pre-existing addition and subtraction theorums, we can establish the identity:
sin(a+b) = sin(a)cos(b)+sin(a)cos(b)
Then, solving this, we get
sin(a+b) = 2(sin(a)cos(b))
sin(a)cos(b) = sin(a+b)/2
a=b, so
sin(a)cos(a) = sin(a+a)/2
sin(a)cos(a) = sin(2a)/2
Therefore, the answer is sin(2a)/2.
Wiki User
∙ 14y ago
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An antitrigonometric function is another term for an inverse trigonometric function.
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A reciprocal trigonometric function is the ratio of the reciprocal of a trigonometric function to either the sine, cosine, or tangent function. The reciprocal of the sine function is the cosecant function, the reciprocal of the cosine function is the secant function, and the reciprocal of the tangent function is the cotangent function. These functions are useful in solving trigonometric equations and graphing trigonometric functions.
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