tanishajat7885 tanishajat7885
  • 12-08-2020
  • Mathematics
contestada

sin theta upon 1 + cos theta + 1 + cos theta upon sin theta is equals to 2 cosec theta prove ​

Respuesta :

oscar236
oscar236 oscar236
  • 12-08-2020

Answer:

Step-by-step explanation:

I'll use x  instead of theta.

So we have:

sin x / ( 1 + cos x) + (1 +cos x) / sinx

The LCM is sin x(1 + cos x) so we have

sin^2 x + (1 + cos x)^2 /  sin x(1 + cos x)

= sin^2 x + cos^2x + 2 cos x + 1 /  sin x(1 + cos x)

Now sin^2x + cos^2x = 1 so:

= 2 + 2 cos x /  sin x(1 + cos x)

= 2(1+ cos x) /  sin x(1 + cos x)

The 1 + cos x is common so we have:

2 / sin x

= 2 cosec x.

Answer Link

Otras preguntas

PLEASE HELP ME!!! DUE TODAY ​
Which equations have the variable term isolated to one side of the equals sign, and the constant isolated to the other side, for the equation 1/5 x +1/3 = 1/2x
Where can Ana look to find out how to get to her Grandmother’s house at Christmastime? a.Atlas b.Almanac c.Phone book d.Encyclopedia
How can I used what I've learned to improve my ability in maintaining a yoga pose ?
why did some believe that U.S expansion was needed to preserve the "American sprit" ?
I need help ASAP! When we subdivide the beat and change the value of 1, we switch to what kind of time?
Susan purchased a prepaid phone card for $15. Long distance calls cost 9 cents a minute using this card. Susan used her card only once to make a long distance c
need a quick answer please
Nine new nations were created after world war 1. what are they?
Consider the Inequality —2n +7 > -11 What is the solution of the inequality