swosteeka
swosteeka swosteeka
  • 13-06-2022
  • Mathematics
contestada

Prove that:- sin 10° *cos 75°*sec 80° *cosec 15 = 1

Respuesta :

Medunno13
Medunno13 Medunno13
  • 18-06-2022

Note: You will need to write the degree symbol for the arguments of these trigonometric functions.

As sin(x)=cos(90-x), this means sin10 = cos80 and cos75=15.

So,

LHS = (cos80)(sec80)(sin15)(cosec15)

LHS = (cos 80)(1/cos 80)(sin 15)(1/sin 15)

LHS = 1

Therefore, the identity is true.

Answer Link

Otras preguntas

why treaty of versailles made ww2
Determine whether the polynomial is a difference of squares and if it is, factor it.y2 − 25A. Is not a difference of squaresB. Is a difference of squares: (y −
what is one fifth of 15
who were local officials inn india that collected taxes
Factor completely, the expression: 2x^3-2x^2-12x show work please.
Is the earth crust around earth is one solid piece true or false ?
What is the domain (in interval notation) of the following functions?1. g(x)=3/(5x-4)2. h(x)=√(x)/(x-5)3. f(x)=√(x)/(x^2-5x)4. g(x)=(√(x)+5)/(x^2-x-20)5. h(x)=3
discriminant of 9x^2+12x+4=0
which geographic factor was most significant in helping the soviet union withstand German attacks in world war II
Which is greater 0.4 or 0.2