ddizraj ddizraj
  • 11-07-2022
  • Mathematics
contestada

(1+sinA+cosA)^2 = 2(1+sinA) (1+cosA)

Respuesta :

dasunmethmal
dasunmethmal dasunmethmal
  • 11-07-2022

Answer:

Step-by-step explanation:

[tex]L.H.S = 1^2+Sin^2A+Cos^2A+2SinA+2CosA+2SinACosA\\ \{(a+b+c)^2 = a^2+b^2+c^2+2ab+2bc+2ca\}\\ = 1 + (Sin^2A+Cos^2A) + 2SinA+2CosA+2SinACosA \\ \{Sin^2A+Cos^2A=1\}\\ = 1 + 1 + 2SinA+2CosA+2SinACosA \\ = 2(1 + SinA+CosA+SinACosA)\\ = 2(1^2 + (SinA+CosA).1+ SinACosA )\\ \{x^2+(a+b)x + ab = (x+a)(x+b)\} \quad here \quad x=1\\ = 2(1+SinA)(1+CosA).\\[/tex]

Answer Link

Otras preguntas

Choose the imperfect tense trigger phrase that means "many times." A. Todas las semanas B. Tantas veces C. Muchas veces O D. Todos los días
what is the distance between the two points shown on the graph?
Rewrite in simplest radical form! Show your work.
Determine how many Altuves you could travel in a day if you were moving at 45.000 mph all day. Altuve = 1.65 m
What cause the slight positive (8+) and negative (8-) poles on a molecule of H20?
plz help ASAP I can't figure out
Why fatty acids need a protein transporter to move cross membrane?
Need help ASAP. Thanks!
A 9-pack of markers costs $6.21. What is the unit price?​
The producer in an energy pyramid contains about 1,000 kcal of energy. About how much of this energy is used by the producer or lost as heat to the environment?