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Anit [1.1K]
4 years ago
10

1+tanA.tan2A = sec2A​

Mathematics
1 answer:
yuradex [85]4 years ago
4 0

Answer:

Step-by-step explanation:

  1+tan2A(tanA)=sec2A  

Right hand side  

sec2A=1cos2A=1cos2A−sin2A  

=cos2A+sin2Acos2A−sin2A  

=1+tan2A1−tan2A  

=1−tan2A+2tan2A1−tan2A  

=1−tan2A1−tan2A+2tan2A1−tan2A  

=1+2tanA1−tan2A×tanA  

=1+tan2A×tanA  

=Left hand side  

I HOPE THIS WILL HELP YOU

MARK ME AS BRAIN LIST

IF MY ANSWER IS HELP FUL

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(4, -5)
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Explain how solving $2x<-8$ is different from solving $-2x<8$ .
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Answer:

When we divide by a negative value, the sign for the inequality changes.

Step-by-step explanation:

2x < -8, to solve we would divide by 2 and receive x < -4. However, in solving -2x < 8, we would divide by negative 2, which would result in x > -4. Clearly, these sequences provide opposite answers and that is a rule to inequalities, that when dividing by a negative number, we must flip the less than/greater than sign.

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Maya is packing her backpack for hike in one pocket she puts in 1/4 pound bag of trail mix a water bottle weighing 2 1/5 pounds
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1/4 + 1/4 = 2/4

Then, add with this the fraction part of 2 1/5.

2/4 + 1/5 = ?
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3 years ago
Mr adams spent $36.25 on 12.5 pounds of nestle crunch. determine the cost per pound of nestele crunch, showing each step in the
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8 0
3 years ago
Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (2
Zina [86]

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

m = \frac{y_2 -y_1}{x_2 - x_1}

So, we have:

(a) (15, 30) and (20, 40)

m = \frac{40 -30}{20- 15}

m = \frac{10}{5}

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m = \frac{16}{6}

m = 2.67

(c) (27, 12) and (72, 32)

m = \frac{32-12}{72- 27}

m = \frac{20}{45}

m = 0.44

(d) (45, 15) and (60, 20)

m = \frac{20-15}{60- 45}

m = \frac{5}{15}

m = 0.33

(e) (27, 2) and (243, 18)

m = \frac{18-2}{243- 27}

m = \frac{16}{216}

m = 0.07

(f) (18, 63) and (24, 84)

m = \frac{84-63}{24- 18}

m = \frac{21}{6}

m = 3.50

(g) (63, 9) and (84, 12)

m = \frac{12 -9}{84- 63}

m = \frac{3}{21}

m = 0.14

From least to greatest slope, the pair of points are:

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(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

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