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3 years ago

Write the expression in terms of sine and cosine and simplify so that no quotients appear in the final expression. Show work.

Mathematics

1 answer:

AlexFokin [52]3 years ago

7 0

<h3>Answer:</h3>

sec²(x)

<h3>Explanation:</h3>

As required:

... = (sin²(x)/cos²(x))(1 +(cos²(x)/sin²(x))

... = (sin²(x)·(sin²(x)+cos²(x)) / (cos²(x)·sin²(x))

... = 1/cos²(x) = sec²(x)

_____

Alternatively, multiply out the given expression, then use trig identities.

... = tan²(x) + (tan(x)·cot(x))² = tan²(x) +1 = sec²(x)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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Talja [164]

Answer:

option C

$f(x)=-\sqrt{x+3}+8$

Step-by-step explanation:

we have

$f(x)=-2\sqrt{x-3}+8$

using a graphing tool

see the attached figure N $1$

The range is the interval--------> (-∞,8]

$y\leq 8$

case A) $f(x)=\sqrt{x-3}-8$

using a graphing tool

The range is the interval--------> [-8,∞)

$y\geq -8$

case B) $f(x)=\sqrt{x-3}+8$

using a graphing tool

The range is the interval--------> [8,∞)

$y\geq 8$

case C) $f(x)=-\sqrt{x+3}+8$

using a graphing tool

The range is the interval--------> (-∞,8]

$y\leq 8$

case D) $f(x)=-\sqrt{x-3}-8$

using a graphing tool

The range is the interval--------> (-∞,-8]

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5 0

3 years ago

ASAP! WILL MARK BRAINLIEST FOR FIRST ACCURATE ANSWER!!

snow_lady [41]

Step-by-step explanation:

3x - 2y = 12

Substituting y = 9, we find:

$3x - 2 \times 9 = 12 \\ \therefore \: 3x - 18 = 12 \\ \therefore \: 3x = 12 + 18 \\ \therefore \: 3x = 30 \\ \therefore \: x = \frac{30}{3} \\ \therefore \: x = 10 \\ \therefore \: A (...., 9) = A (10, \: 9)$

Similarly, solving for point B (4, __) =B (4, 0)

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2 years ago

Write a problem that can be solved with a bar model that shows equal groups of liters

ioda

"In Grade 2 and early in Grade 3, students learned to use bar models to solve two-step problems involving addition and subtraction. This is extended in this chapter to include multiplication and division.

<span>Both multiplication and division are based on the concept of equal groups, or the part-part-whole concept, where each equal group is one part of the whole. In Grade 2, students showed this with one long bar (the whole) divided up into equal-sized parts, or units. This unitary bar model represents situations such as basket of apples being grouped equally into bags." </span>https://www.sophia.org/tutorials/math-in-focus-chapter-9-bar-modeling-with-multipli

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3 years ago