Determine whether the statement "I’ve noticed that for sine, cosine, and tangent, the trig function for the sum of two angles is not equal to that trig function of the first angle plus that trig function of the second angle", makes sense or does not make sense, and explain your reasoning.

a2linetagadaW

a2linetagadaW

Answered question

2020-10-23

Determine whether the statement "I’ve noticed that for sine, cosine, and tangent, the trig function for the sum of two angles is not equal to that trig function of the first angle plus that trig function of the second angle", makes sense or does not make sense, and explain your reasoning.

Answer & Explanation

broliY

broliY

Skilled2020-10-24Added 97 answers

The statement is “ The trigonometric function for the sum of two angles is not equal to the trigonometric function of the first angle plus trigonometry function of the second angle.” i.e. in a mathematical way, we can say
sin(A+B)sin(A)+sin(B)
cos(A+B)cos(A)+cos(B)
tan(A+B)tan(A)+tan(B)
The statement is True.
Since the formulas for the trigonometric function of the sum of two angles are
sin(A+B)=sin(A)cos(B)+cos(A)sin(B)
cos(A+B)=cos(A)cos(B)+sin(A)sin(B)
tan(A+B)=tan(A)+tan(B)1tan(A)tan(B)
Hence generally the trigonometric function for the sum of two angles is not equal to the trigonometric function of the first angle plus trigonometry function of the second angle.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-14Added 2605 answers

Answer is given below (on video)

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