alokprajapti98 alokprajapti98
  • 24-12-2020
  • Mathematics
contestada

prove that cos² (45+A) + (45-A)=1​

Respuesta :

handa3311
handa3311 handa3311
  • 24-12-2020

Answer:

Cos²(45°—A) + cos²(45°+A)

= [2 cos²(45°—A) + 2 cos²(45°+A)] /2

= [{2 cos²(45°—A)—1} + {2 cos²(45°+A)—1} + 2] /2

= [cos2(45°—A)+cos2(45°+A)+2]/2

= [cos(90°—2A)+cos(90°+2A)+2]/2

= (sin2A—sin2A+2)/2

= 2/2

= 1

Answer Link

Otras preguntas

217+37(3x−5)=−4 Drag and drop the statement that shows the solution to the equation into the box.
If the midpoint of a segment is the halfway point, then what is the midsegment of a triangle?
Evaluate the expression when a = 2 and b = 4. 6a – 2b + 5 A. 43 B. 1 C. 45 D. 9
3x - 2 (x + 3) = 4x - 7
How do you say “He is in art class”?
How do you turn the fraction 5/12 into a decimal?
What is the im[portance of nitrogen in the atmosphere?
__________ are actions and attitudes that are expected of people living in a democratic society.
Explain the advantages of a trade agreement and how it might impact a company like red fish-blue fish.
If a cell did not have ribosomes, it would be unable to