Matematika

Pertanyaan

Diketahui: tan x = p
Tentukan:
a. Sin (90°+x)=...
b. Cos (180°-x)=...

2 Jawaban

  • tan x = p
    tan x  = y/x
    x=1, y = p, r = √(x²+y²) = √(p²+1)

    sin x = y/r = p/√(p²+1)
    cos x = x/r = 1/√(p²+1)

    a. sin (90- x)=  cos x = 1/√(p²+1)
    b. cos (180 - x)= - cos x = - 1/√(p²+1)
  • tan x = p
    sin x / cos x = p

    a. sin (90° + x) = cos x
    cos x = sin x /p
    sin (90° + x) = sinx /p

    b. coa (180°-x) = - cos x
    -cos x = -sin x /p
    cos (180°-x) = - sinx/p

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