Matematika

Pertanyaan

Tolong guys

Buktikan bahwa:
A. Cos x/sin^2 x-1 = -sec x
B. Tan^4 x-1/sec^2 x = Tan^2 x-1

1 Jawaban

  • @
    cos x / (sin² x - 1) =  - sec x
    = cos x/  -(1 - sin² x)
    = cos x / -(cos²x)
    = - sec x

    (tan⁴ x -1) /(sec²x )  = tan²  x  -1
    = (tan² +1)(tan²x -1) / sec² x
    = sec² x (tan² x - 1) / sec² x
    = tan² x - 1

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