Mathematics: Simplify (tan(θ)+cot(θ))/(sec(θ)•csc(θ)) completely

Simplify (tan(θ)+cot(θ))/(sec(θ)•csc(θ)) completely

nae878

29.11.2021

The ratio of the incumbent”s votes in the total number of votes = 7:8

Step-by-step explanation:

Given:

Number of students who cast vote for the incumbent = 7,000

Number of students who cast vote for the opponent = 900

Number of protest votes = 100

To find ratio of the incumbent”s votes in the total number of votes.

Solution:

Total number of votes cast = 7000+900+100=8000

Number of votes for incumbent = 7000

Ratio of incumbent”s votes in the total number of votes can be calculated as:

⇒ $\frac{\textrm{The incumbent's votes}}{\textrm{Total number of votes}}$

⇒ $\frac{7000}{8000}$

Simplifying to simplest fraction by dividing numerator and denominator by 1000.

⇒ $\frac{7000\div1000}{8000\div1000}$

⇒ $\frac{7}{8}$

Thus, ratio of the incumbent”s votes in the total number of votes = 7:8

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