HELP FAST PLEASE!! Martin simplified the composed function f(x)=sin(arctan x). His work is shown below. Step 1: f(x)=sinA, where

Question

HELP FAST PLEASE!!
Martin simplified the composed function f(x)=sin(arctan x). His work is shown below.
Step 1: f(x)=sinA, where A=arctan x and x = tanA
Step 2: tanA= opp/adj=x/1
Step 3: hypotenuse= square root of 1^2-x^2= square root of 1-x^2
Step 4: sinA=opp/hyp=x/squareroot 1-x^2
In which step did Martin make is first error?

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Answers ( No )

    0
    2021-09-06T04:45:13+00:00

    we have that

    Step 1: f(x)=sinA, where A=arctan x and x = tanA—–> is correct
    Step 2: tanA= opp/adj=x/1———–> is correct
    Step 3: hypotenuse= square root of 1²-x²= square root of 1-x²—–> is not correct
    Because 
    hypotenuse= square root of (1² + x²)=square root of (1+x²)
    Step 4: sinA=opp/hyp=x/square root of (1+x²)

    the answer is
    In step 3 Martin make is first error

    0
    2021-09-06T04:45:31+00:00

    Answer:

    1. B f(x)=4sinx/2-3

    2. B, F, G (c=-1. a=2, b=2)

    3. c. H(t)=-2.4cos(0.017t)+12

    4. A, B, E, F (y=cos^-1x, y=cot^-1x, y=sin^-1x, y=tan^-1x)

    5. C y=sin^-1x

    6. C 48.7

    7. C f(g(x))=sec(sinx) domain: all real #

    8. C step 3

    Step-by-step explanation:

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