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lesantik [10]
4 years ago
5

If π/2 π and sin A = 4/5 , then tan A/2 =??

Mathematics
1 answer:
Westkost [7]4 years ago
5 0

Answer: 2

<u>Step-by-step explanation:</u>

\text{If the angle is in Quadrant II and sin A }=\dfrac{4}{5}, \text{then cos A }=-\dfrac{3}{5}.\\use\ Pythagorean\ Theorem: x^2+4^2=5^2\implies x=3,\quad cos =\dfrac{x}{h}\\\\\\tan\bigg(\dfrac{A}{2}\bigg)=\dfrac{1-cosA}{sinA}\\\\\\.\qquad \qquad =\dfrac{1-(-\dfrac{3}{5})}{\dfrac{4}{5}}\\\\\\.\qquad \qquad =\dfrac{\dfrac{8}{5}}{\dfrac{4}{5}}\implies \dfrac{8}{5}\div\dfrac{4}{5}\implies \dfrac{8}{5}\times\dfrac{5}{4}=\dfrac{8}{4}=\large\boxed{2}

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Reduce to the lowest terms by canceling -14/9 times -3/7
maksim [4K]

Answer:

2/3

Explanation:

Given the below;

\frac{-14}{9}\times\frac{(-3)}{7}

We can see from the above that 9 is divisible by 3 and that 14 is divisible by 7, let's go ahead and reduce to the lowest term as shown below;

\frac{-14}{9}\times\frac{(-3)}{7}=\frac{-2}{3}\times\frac{(-1)}{1}=\frac{2}{3}

5 0
1 year ago
An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement. Michael has a budget of $800
TEA [102]

Answer:

full page = 8

half page = 5

Step-by-step explanation:

two equations can be derived from the question

40x + 75y = 800 equation 1

x + y = 13 equation 2

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y = number of full page advertisement

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40x + 40y = 520 equation 3

subtract equation 3 from 2

280 = 35y

y = 8

substitute for y in equation 2

x + 8 = 13

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6 0
3 years ago
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Arturiano [62]

Answer:

AAS

Step-by-step explanation:

5 0
3 years ago
How Do You Do 2-Step Equations With Addition , Subtraction, Multiplication and Division?
prohojiy [21]
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3 years ago
Solve x^2 - 8x - 9 = 0.
IgorC [24]

Answer:

x^2+8x =9 equal to x^2+8x-9=0

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Step-by-step explanation:

x+9=0

x=-9

OR

x-1=0

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7 0
3 years ago
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