If x tan- 120° + 4cos 150º = 9. then x = a) 1 b) 2 d)-2 c)-1 with explanation​

Question

If x tan- 120° + 4cos 150º = 9. then x =
a) 1
b) 2
d)-2
c)-1

with explanation​

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Jade 4 weeks 2021-08-18T23:40:42+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-18T23:42:31+00:00

    Step-by-step explanation:

    2020. Learn More

    Brainly.in

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    vishwajeetsinghmani2

    pranav6431

    16.03.2020

    Math

    Secondary School

    +5 pts

    Answered

    If x tan² 120° + 4cos2 150° = 9, then x is

    2

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    Answer:

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    Step-by-step explanation:

    tan² (∅)= [1+cos(2∅) ]/ [1−cos(2∅) ]

    cos²(∅)= (1/2)[1+cos (2∅)]

    so,

    x[1+cos{2(120°)}]/[1-cos{2(120°)}] + (4)(1/2)[1+cos{2(150°)}] = 9

    x[1.5/-.5]+(4)[1.5]=9

    x(-3)+3=9

    -3x=6

    x=-2

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