The picture is the qestion
2 answers:
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Answer:
The simplest form is tan(4x)
Step-by-step explanation:
* Lets revise the identity of the compound angles
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* Lets solve the problem
- Let 9x = 5x + 4x
∴ tan(9x) = tan(5x + 4x)
- Use the rule of the compound angle
∵ ⇒ (1)
∵ ⇒ (2)
∵ tan(9x) = equation (2)
- Substitute (2) in (1)
∴
- Multiply up and down by (1 - tan(5x)tan(4x))
∴
- Simplify up and down
∴
∴
- Take tan(4x) as a common factor up
∴
- Cancel [1 + tan²(5x)] up and down
∴ The answer is tan(4x)
Now the fraction is your slope, it determines where your point goes, in this equation you would move up 6 times and move left once because your slope is -1/6. Now your numerator is the one that moves right if it's positive or left if if's negative. Your denominator is the one that moves up if it's positive and down if it's negative. So you're either going up 6 times and moving left once and if you're plotting two points then you move down 6 times and right once, it's basically the reverse. Now the number on the very right is your y-intercept it's always on the y-axis and that's how you start your line. from there you use the slope and plot the two other points and then you connect the points. That's how you do it, hope this helps.
