TELpyeskelynnbre
TELpyeskelynnbre TELpyeskelynnbre
  • 07-08-2016
  • Mathematics
contestada

Prove that sin20 sin40 sin60 sin80=3/16

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 10-08-2016
sin 20° · sin 40° · sin 80° = 1/2 ( cos 20° - cos 60° ) · sin 80° =
= 1/2 ( cos 20° sin 80° - cos 60° sin 80° ) =
= 1/2 ( (sin 100° + sin 60°)/2 - 1/2 sin 80° )=            ( sin 100° = sin 80° )
= 1/2 · ( 1/2 sin 60° ) = 1/4 sin 60° = √3 / 8
sin 60° = √ 3/2
√ 3 / 2 · √ 3 / 8 = 3/16  ( correct )
Answer Link

Otras preguntas

what is the balanced equation to, CH4+O2=C02+H2O ?
What does physical change mean?
what is a nonrestrictive modifier
Scanning means that the reader
An infant born between 38 and 42 weeks after conception is considered A) a preterm infant. B) a teratogen. C) a full-term infant. D) an embryon.
Use the term relocate to describe the relationship between the United States and native Americans in the 1830s.
A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available at the agency, shown below. Whi
Read the quote by the Baron de Montesquieu from The Spirit of the Laws. When the legislative and executive powers are united in the same person, or in the same
The product of 9 plus a number decreased by 7
which of the following has a positive enthalpy without a temperature change? condensing gas evaporating a liquid cooling a solid cooling a liquid