edommesay
edommesay edommesay
  • 19-06-2020
  • Mathematics
contestada

√2cos ( A - B) = 1, 2 sin ( A + B) = √3. A,B are acute angles. FIND A AND B.​

Respuesta :

SvetkaChem
SvetkaChem SvetkaChem
  • 19-06-2020

Answer:

A. 52.5°

B. 7.5°

Step-by-step explanation:

√2cos ( A - B) = 1

cos(A - B) = 1/√2

cos(A - B) = √2/2

A - B = 45°

2 sin ( A + B) = √3

sin (A + B) = √3/2

A + B = 60°

A - B = 45

A + B = 60

2A     = 105

A = 52.5°

B = 60 - 52.5 = 7.5°

Answer Link

Otras preguntas

Write an inequality to model the situation: a number exceeds 52.
How do i make a saline solution to clean my navel piercing? i got a navel piercing yesterday and i bought this wound cleaner (the products name is bactine) to c
Why was it necessary for early humans to move from one location to another?
Approximately, how many lakes does Texas have? a.100 b.150 c.200 d.250
In Psalm 8, the psalmist considers \"thy heavens, the work of thy fingers, the moon and the stars, which thou hast ordained.\" . What picture of God does the p
What are the horizontal rows in the periodic table called?
write down 113 but forget to record cell phone measurement unit. is it gonna be grams or kilograms?
How do I solve this problem?? I don't get it
how many times does 8 go into 60??? i cant remember even if it does
English Help! Please and Thank You! (30 Points) Which of the following lines of dialogue from "When Greek Meets Greek" best reveals Ram's false heritage to the