# How do you express #sin^4theta-cos^3(pi/2-theta ) # in terms of non-exponential trigonometric functions?

Inserting these values the given expression becomes

#=1/4(1-2cos2theta+cos^2 2theta -3sintheta+sin3theta)#

#=1/4(1-2cos2theta+1/2(1+cos4theta) -3sintheta+sin3theta)#

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[ \sin^4(\theta) - \cos^3\left(\frac{\pi}{2} - \theta\right) = \sin^4(\theta) - \sin^3(\theta) ]

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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