bffgfay9872 bffgfay9872
  • 09-03-2018
  • Mathematics
contestada

if (1+sina)(1+sinb)(1+sinc)=(1-sina)(1-sinb)(1-sinc)=k then value of k=?
a. (cosacosbcosc)
b.(sinasinbsinc)
c. (3sinasinbsinc),

Respuesta :

Kalahira
Kalahira Kalahira
  • 17-03-2018
k = (1+sina)(1+sinb)(1+sinc) = (1-sina)(1-sinb)(1-sinc) Multiply both entities, k x k = (1+sina)(1+sinb)(1+sinc) x (1-sina)(1-sinb)(1-sinc) That gives k^2 = (1 - sin^2a)(1 - sin^2b)(1 - sin^2c) k^2 = (cos^2a) x (cos^2b) x (cos^2c) k = sqrt ((cos^2a) x (cos^2b) x (cos^2c)) k = cosacosbcosc option a is correct.
Answer Link

Otras preguntas

Which of the following is the formula for a non-cyclic, saturated hydrocarbon? a. C₇H₁₂ b. C₇H₁₄ c. C₇H₁₆ d. C₇H₁₈ e. C₇H₂₀
How do you solve:z = 8 + 6x - px
If 2x-6 is an even integer, what is the next consecutive even integer
how to identify the factors in the expression 6(x+5)
Identify the simple subject in the following sentence.George Washington was one of the greatest generals in American history.A.generalsB. wasC.George Washington
Why did Bill Clinton win the presidency in 1992?
When  liquids are exposed to air, they what??
Which states would most likely support a system in which the number of votes each state had in the nation's legislature was based on the population?why?
Solve the equation for y. 6x-3y=18
Why are SI units helpful for describing objects?