Having in mind that the italics are popularly used to call attention to certain words in a block of text and that some of the rules for quotation are: Use double quotation marks to set off a direct (word-for-word) quotation and Always capitalize the first word in a complete quotation, even midsentence. then the correct one here is the B option. Hope this can help

8 0

3 years ago

Given sin(−θ)=15 and tanθ=6√12 .

Reil [10]

Answer:

B). −2√6/5

Step-by-step explanation:

tan theta = sin theta/ cos theta

Multiply each side by cos theta

tan theta * cos theta = sin theta

Divide each side by tan theta

cos theta = sin theta/ tan theta

We know that the sin (- theta) = - sin theta since sin is and odd function

sin theta = - ( sin (-theta))

Putting this into the above equation,

cos theta = - ( sin (-theta)) / tan theta

cos theta = - 1/5 / (sqrt(6)/12)

Remember when dividing fractions, we use copy dot flip

cos theta = -1/5 * 12/ sqrt(6)

cos theta = -12/ (5 sqrt(6))

We cannot leave a sqrt in the denominator, so multiply the top and bottom by sqrt(6)/sqrt(6)

cos theta = -12/ (5 sqrt(6)) * sqrt(6)/sqrt(6)

cos theta = -12 sqrt(6) / 5*6

Simplify the fraction.

cos theta = -2 sqrt(60/5

HOPE IT HELPS:D BRAINLIEST PLZ:D

7 0

3 years ago

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