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Elan Coil [88]
4 years ago
8

Verify the identity sec^2(x)tan^2(x)+sec^2(x)=sec^4(x)

Mathematics
1 answer:
Natalija [7]4 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tan²x + 1 = sec²x ⇒ tan²x = sec²x - 1

Consider the left side

sec²x × tan²x + sec²x

= sec²x(sec²x - 1) + sec²x ← distribute and simplify

= sec^{4} x - sec²x + sec²x

= sec^{4} x = right side ⇒ verified

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elena-14-01-66 [18.8K]

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3 years ago
Given a point on a line and the equation of a parallel or perpendicular line, write the equation of the line in point-slope form
Arlecino [84]

Answer: y - 5 = 0(x - 1)

==================================================

Explanation:

Recall that point slope form in general is written as such

y - y1 = m(x - x1)

where,

m is the slope

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The given equation y = 7 can be written as y = 0x+7. So we see that this line has a slope of m = 0

Plug m = 0 along with the given point (x1,y1) = (1,5) into the point slope equation and we get

y - y1 = m(x - x1)

y - 5 = 0(x - 1)

which is the final answer

note: the equation in bold can be rearranged and simplified to get y = 5; however your teacher seems to want the answer in point-slope form, so we leave it as such.

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3 years ago
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Use the following rules to graph and label the ordered pairs on a coordinate grid with at least 4 points on the coordinate plane
Sati [7]

Answer:

3

Step-by-step explanation:

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