shreyachapagai8 shreyachapagai8
  • 23-08-2021
  • Mathematics
contestada

(1+sin2A+cos2A)^2=4cos^2A(1+sin2A)

Respuesta :

aayusaneupane
aayusaneupane aayusaneupane
  • 23-08-2021

Answer:

(1+sin2A+cos2A) ^2=4cos^2A(1+sin2A)

Step-by-step explanation:

Here,

L.H.S=(1+sin2A+cos2A)^2

=(1+2sinAcosA+2cos^2A-1)^2

=(2sinAcosA+2cos^2A)^2

={2cosA(sinA+cosA)}^2

=4cos^2A(sinA+cosA)^2

=4cos^2A(sin^2A+2sinA.cosA+cos^2A)

=4cos^2A(sin^2A+cos^A+2sinAcosA)

=4cos^2A(1+sin2A)

=R.H.S

Hence,L.H.S=R.H.S.

(1+sin2A+cos2A)^2=4cos^2A(1+sin2A).

proved.

Answer Link

Otras preguntas

A stuntman jumps from the roof of a building to the safety net below. How far has the stuntman fallen after 1.6 seconds?
Why did the USA and the USSR fall out after World War 2?
If 4/5 x blank = 2/5 what is blank
A regulation tennis court measures 78 feet long by 36 feet wide.Brad is making a scale drawing of the tennis court using a scale of 1 foot = 1/2 inch.How long i
sale price $25 original price $40 what percent.represents the discount that received when buying the sweater
which value is equivalent to 15.2% written as a decimal
the number of electrons in the outer ring of the elements phosphorus, potassium, oxygen, iodine, gold, bromine, sulfur, and cobalt?
What is an equivelent expression for 4(x+5)+2(x+3)
What effect did nationalist unrest have on the ottoman empire?
What is. One fifth times40?