Use an Addition or Subpraction Formula to write the expression as a trigonometri

Jerold

Jerold

Answered question

2021-08-15

Use an Addition or Subpraction Formula to write the expression as a trigonometric function of one number:
tan78tan181+tan78tan18
Find its exact value.

Answer & Explanation

oppturf

oppturf

Skilled2021-08-16Added 94 answers

The given trigonometry expression can be expressed as difference formula of tan angle which is given as:
tan(AB)=tanAtanB1+tanAtanB
where A and B are in degree.
Comparing with the given expression, we get:
A=78 and B=18
Put these value in the tan angle formula as:
tan(7818)=tan78tan181+tan78tan18
tan(60)=3
The exact value of given expression can be calculated as:
tan78tan181+tan78tan18=4.70460.32492.5286
=4.37972.5286
=1.73206
Therefore, the exact value of given expression is 1.73206.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

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