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Nana76 [90]
2 years ago
7

1. Prove that 2 tan x / 2- sec^2 x = tan 2x.

Mathematics
1 answer:
Vikentia [17]2 years ago
8 0

Answer:

Step-by-step explanation:

Use trig identities:

1

+

tan

2

x

=

1

cos

2

x

=

sec

2

x

(

1

−

tan

x

)

=

1

+

tan

2

x

−

2

tan

x

=

sec

2

x

−

2

tan

x

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algol13
When you see questions of this nature, test the individual inequalities and look out for their intersection.

For
y < \frac{2}{3} x
Choose a point in the lower or upper half plane created by the line
y = \frac{2}{3} x
The above line is the one which goes through the origin.

Now testing (1,0) yields,

0 < \frac{2}{3} (1)
That is,

0 < \frac{2}{3}
This statement is true. So we shade the lower half of
y = \frac{2}{3} x

For
y \geqslant - x + 2
We test for the origin because, it is not passing through the origin.

0 \geqslant - (0) + 2
This yields
0 \geqslant 2
This statement is false so we shade the upper half.

The intersection is the region shaded in B. The top right graph
8 0
3 years ago
What is 56/108? they are even numbers so they can be simplified but I don't know how to do it right.
Andrews [41]
That answer is simplified to 7/12
3 0
3 years ago
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Sam is using the expression 8mn in class. What is the value of the expression when m = 4 a n d n = 12 ?
goldfiish [28.3K]

Answer:

8 x 4 x 12 = 384

Step-by-step explanation:

8 x 4 x 12 = 384

4 0
3 years ago
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The following data points are the number of games pitched by each of the Greenbury Goblins' starting pitchers last season.
Leviafan [203]

Answer: 1.87 games

Step-by-step explanation:

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5 0
3 years ago
The Value of x in the system of equation at the right is -2 what is the value of a? use elimination to help you find the value.
sammy [17]

2x-4y=-16
ax+4y=6      +
--------------------
2x+ax=-10;     for x=-2, 
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a=-6/-2
a=3
7 0
3 years ago
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