jigmewangmost
jigmewangmost jigmewangmost
  • 11-08-2021
  • Mathematics
contestada

prove that.....sin^4α+2sin^2αcos^2α+cos^4α=1​

Respuesta :

jasongggg
jasongggg jasongggg
  • 11-08-2021

Step-by-step explanation:

You can actually factorise this equation like how you factorise quadratic equations,

LHS = sin⁴a + 2sin²a cos²a + cos⁴a

= (sin²a + cos²a)²

Again, by using the identity sin²a + cos ²a = 1,

= (1)²

= 1

= RHS (Proven)

Answer Link

Otras preguntas

Four consecutive multiples of 10 have a sum of 300. What is the least of these numbers? F.20 G.30 H.40 J.50 K.60
What does the Latin word Davum mean?
how do decomposers make sure that there are always enough minerals and other nutrients in an ecosystem?
why is there so much nitrogen in the atmosphere
Trent spent 50 minutes at the neighbor's house. He spent 2(over)5 of the time swimming. How many minutes did Trent spend swimming ? P. S In the first picture i
How did Procopius link the cathedral's opulence (wealth) to true Christian values?
Why might political parties write platforms before presidential elections
how did the scientific revolution lead to the enlightenment?
if I simplify (3b^3)^4 and in the end get 81b^12 how do I get there?
Can someone help me with this please ? This is exponents . 3x^2(9x)^0 = ____ x____  .Please explain how you got your answer.