Answer:
The correct options are;
1) Write tan(x + y) as sin(x + y) over cos(x + y)
2) Use the sum identity for sine to rewrite the numerator
3) Use the sum identity for cosine to rewrite the denominator
4) Divide both the numerator and denominator by cos(x)·cos(y)
5) Simplify fractions by dividing out common factors or using the tangent quotient identity
Step-by-step explanation:
Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;
tan(x + y) = sin(x + y)/(cos(x + y))
sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))
(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)
Answer:
The base of the triangle is 6cm.
Step-by-step explanation:
The find the base of a triangle, use this formula.
Formula : 1/2 x b x h
<em>If you would like some more explanation, see the attached image.</em>
Answer:
20
Step-by-step explanation:
<em>5+5+5+5</em>
Answer:
Step-by-step explanation:
<u>Total number of tickets:</u>
<u>Number of slushie or an ice cream sundae prize tickets:</u>
<u>Probability of drawing a slushie or an ice cream sundae prize ticket:</u>
<u>Predicted number of times a slushie or an ice cream sundae prize ticket will be drawn:</u>
Answer:
The number (5/3)³ written as a quotient of powers is; 5³/3³
According to the question;
We are required to determine write the number, (5/3)³ as a quotient of powers
The number (5/3)³ can be evaluated as;
= 125/27
= 5³/3³
Step-by-step explanation:
