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LUCKY_DIMON [66]
3 years ago
12

I’ll send you the picture of my question

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Answer:

ok

Step-by-step explanation:

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Help! How would I solve this trig identity?
NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}

Then the identity can be rewritten as:

sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\

Now we can multiply both sides by cos⁴(x) to get:

\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}  = \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)}  + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)

Now we can use the identity:

sin²(x) + cos²(x) = 1

1 - cos^2(x) = sin^2(x)*(sin^2(x) + cos^2(x)) = sin^2(x)\\\\1 = sin^2(x) + cos^2(x) = 1

Thus, the identity was proven.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

7 0
1 year ago
One angle of an isosceles triangle is 50 °. Calculate all the angles of that triangle.
monitta

Answer:

150

Step-by-step explanation:

3 times 50 equal 150

6 0
3 years ago
What is the solution set?<br> O (0-2)<br> O (2.0)<br> O (7,0)<br> O (5,3)
muminat

Answer:

D. (5,3)

Step-by-step explanation:

The solution is (x,y). so in this case, you find the point where both arrows meet.

on the x-axis, which is positive right 5, and positive 3 up, on the y-axis

3 0
2 years ago
Read 2 more answers
How many ninths in 2/3
GalinKa [24]
6/9 is in 2/3 all you do is multiply numerator and denominator by 3

3 0
3 years ago
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Tim's Tamales sold 2,194 tamales for $1.25 each. What were the earnings?
allochka39001 [22]

Answer:

2,742.50

Step-by-step explanation:

2194 x 1.25 = 2742.50

4 0
3 years ago
Read 2 more answers
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