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Write the expression as the sine, cosine, or tangent of an angle?

tan 4x+tan x/1-tan4x tan x

Answer 1

Violet Anderson

#(tan4x+tanx)/(1-tan4xtanx)=tan(5x)#

This uses the formula for tangent of sum of two angles as

#tan(A+B)=(tanA+tanB)/(1-tanAtanB)#

Hence #(tan4x+tanx)/(1-tan4xtanx)# can be written as

#tan(4x+x)# i,e, #tan(5x)#

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Answer 2

Zoe Austin

To write an expression as the sine, cosine, or tangent of an angle, you need to apply trigonometric identities and properties. Can you please provide the expression you would like to convert into one of these trigonometric functions?

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Answer from HIX Tutor

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.