1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elan Coil [88]
2 years ago
11

Please solve this and only answer with image

Mathematics
1 answer:
horsena [70]2 years ago
5 0

\cot^4 A - \cot^2 A = 1\\\\\cot^4 A = 1 + \cot^2 A\\\\\frac{\cos^4 A}{\sin^4 A} = 1 + \frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A}{\sin^2 A}+\frac{\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{\sin^2 A+\cos^2 A}{\sin^2 A}\\\\\frac{\cos^4 A}{\sin^4 A} = \frac{1}{\sin^2 A}\\\\\cos^4 A = \frac{\sin^4 A}{\sin^2 A}\\\\\cos^4 A = \sin^2 A\\\\

This then means,

\cos^4 A + \cos^2 A = 1\\\\\sin^2 A + \cos^2 A = 1\\\\

which is the pythagorean trig identity. This concludes the proof.

Therefore, if \cot^4 A - \cot^2 A = 1, then \cos^4 A + \cos^2 A = 1

You might be interested in
ANSWER IT PLZ! Evaluate the expression 4² + 6 · 5² - 3³ ÷ 3² = ?
Ulleksa [173]

Answer:

= (6×25)

= 150 - (27÷9)

= 150 - 3

= 147

7 0
3 years ago
Read 2 more answers
A basketball backboard set that sold for $79 is discounted 15%. What is the sale price?
EastWind [94]

Answer:

67.15

Step-by-step explanation:

subtract 15 percent of 79 from 79

7 0
3 years ago
Read 2 more answers
Sketch the graph of the inequality.<br> 9. 7y − 2x + 3 &lt; 17
ohaa [14]

7y-2x+3 < 17\ \ \ \ |-3\\\\7y-2x < 14\ \ \ \ |+2x\\\\7y < 2x+14\ \ \ \ |:7\\\\y < \dfrac{2}{7}x+2\\\\y=\dfrac{2}{7}x+2\\\\for\ x=0\to y=\dfrac{2}{7}(0)+2=2\to(0,\ 2)\\\\for\ x=-7\to y=\dfrac{2}{7}(-7)+2=0\to(-7,\ 0)

5 0
3 years ago
Find the area of the figure.
Gnoma [55]
15.5 x 12.4 = 192.2 so the answer is 192.2 square feet.
8 0
3 years ago
Read 2 more answers
Which of the fallowing is a even number 25, 28, 31, 37
irga5000 [103]
Even numbers end with 2,4,6,8, or 0. Thus, 28 is the even number.
8 0
3 years ago
Read 2 more answers
Other questions:
  • (8y-5)-(2y-9) plz help
    6·1 answer
  • Would you rather have pennies to match your weight or quarters to match your height
    7·1 answer
  • Please help! When you add the same number to both sides of an inequality is the inequality still true? When you subtract the sam
    6·1 answer
  • Use the graph of the function f to determine f(x)
    13·1 answer
  • Tiffany is 140 miles away from Maggie. They are traveling towards each other. If Maggie travels 5 mph faster than Tiffany and th
    11·1 answer
  • A(n)=-6-4(n-1) Find the 4th term
    14·2 answers
  • The bottom of the ladder on a horizontal flat surface rests against a wall. It makes an angle of elevation of 35°. The bottom of
    13·1 answer
  • Si juan tiene 7 manzanas y le da 5 a jose ¿cuantas manzanas le quedan a juan?​
    14·1 answer
  • HELP ME WITH MY MATH
    5·2 answers
  • Help please fast!!!!!!!!!!!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!