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Galina-37 [17]
2 years ago
12

students were asked to simplify the expression . two students' work is given. student a step 1: step 2: step 3: 1 tan2 θ step 4:

sec2 θ student b step 1: step 2: step 3: step 4: csc2 θ part a: which student simplified the expression incorrectly? explain the errors that were made or the formulas that were misused. (5 points) part b: complete the student's solution correctly, beginning with the location of the error. (5 points) source stylesnormalfontsize
Mathematics
1 answer:
Whitepunk [10]2 years ago
6 0

Student B is wrong , student A is correct in simplifying the expression .

Expression B must be simplified to cot θ .

Formulas to be used are :

1 - sin^{2} θ = cos^{2}θ

 1 - cot^{2}θ = tan^{2}θ .

Since , location of error is step 3 , we will start from there

[ ( 1 - sin^{2}θ ) / sin θ ] / cos θ    = [ ( 1 - sin^{2}θ ) / sin θ ] * [ 1 / cos θ ]

                          = ( 1 - sin^{2}θ ) / ( sin θ * cos θ )

               = cos^{2} θ / ( sin θ * cos θ )

                   = cot θ .

To know more on trigonometry follow link :

brainly.com/question/24349828

#SPJ4

Since , the question is incomplete we assume it to be :

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The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

<u>For example:</u>

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From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

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