~~~~25 POINTS!!~~~~PLEASE HELP~~~~~~ Given tan(0)=5/6, then cos(0)=a/b. Determine the values of a and b

Question

~~~~25 POINTS!!~~~~PLEASE HELP~~~~~~
Given tan(0)=5/6, then cos(0)=a/b. Determine the values of a and b

in progress 0
Minh Khuê 5 years 2021-07-29T17:39:49+00:00 1 Answers 17 views 0

Answers ( )

  1. ThanhThu
    0
    2021-07-29T17:41:34+00:00
    Reply

    Answer:

    Value of a= 6

    Value of b= 7.81

    Step-by-step explanation:

    We are given tan \theta=\frac{5}{6}

    and cos \theta=\frac{a}{b}

    We need to find values of a and b

    We know that: tan \theta=\frac{Perpendicular}{Base}

    While cos \theta = \frac{Base}{Hypotenuse}

    So, a = Base and b= Hypotenuse

    We know the value of base i,e tan \theta=\frac{Perpendicular}{Base}=\frac{5}{6}

    We get Base=6, Perpendicular = 5

    To find Hypotenuse we can use Pythagoras theorem

    (H)^2=(P)^2+(B)^2\\H^2=(5)^2+(6)^2\\H^2=25+36\\H^2=61\\H=\sqrt{61}\\H=7.81

    The value of hypotenuse is 7.81

    The value of Base is 6

    So, cos \theta = \frac{Base}{Hypotenuse} =\frac{a}{b}= \frac{6}{7.81}

    Value of a= 6

    Value of b= 7.81

Leave an answer

Browse

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