Find five values of theta(in radians) that satisfy the equation sec theta=-2

Question

Find five values of theta(in radians) that satisfy the equation sec theta=-2

in progress 0
Lệ Thu 1 month 2021-08-06T05:39:35+00:00 1 Answers 1 views 0

Answers ( )

    0
    2021-08-06T05:41:19+00:00

    Answer:

    Step-by-step explanation:

    sec θ=-2

    cos θ=-1/2=-cos π/3

    =cos(π-π/3),cos(π+π/3)

    =cos 2π/3,cos 4π/3

    =cos(2nπ+2π/3),cos(2nπ+4π/3)

    =cos(6nπ+2π)/3,cos(6nπ+4π)/3

    θ=(6nπ+2π)/3,(6nπ+4π)/3

    n=0,1,2

    θ=2π/3,4π/3,8π/3,10π/3,14π/3,16π/3

    Take first  value values.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )