Remember that in PEMDAS, you do the parentheses first.
1. For each answer choice, do whatever is in the parentheses first.
2. Multiply that number to the one outside the parentheses
Hint: For this problem, If all the signs in the answer choice are multiplication, they will equal the same number.
Answer: 55.56
Step-by-step explanation:
Let the unknown number be k
(45 x k) / 100 = 25
45k/100 = 25
multiply both sides by 100
45k = 25 x 100
45k = 2500
divide both sides by 45
k = 2500/45
k = 55.56
Tan(x)= sin(x)/cos(x), therefore, substitute sin(x)/cos(x) in the expression:
=(cos(x)(sin(x)/cos(x))-1)/cos^2(x)
simplify the 2 cos(x):
=(sin(x)-1)/cos^2(x)
Sin^2(x)+ cos^2(x)=1, sin^2(x)-1=- cos^2(x), substitute in the expression:
= -cos^2(x)/cos^2(x)= -1
If i understood it right when you estimate the quotient it help you have an idea
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