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2 years ago

10

‼️ What is the height of a right triangle with an angle that measures 60 degrees and a base of 14 adjacent to the 60 degree angl

e???

1 answer:

puteri [66]2 years ago

7 0

You'd use tangent for this.

opposite / adjacent

tan 60* = x/14

multiply both sides by 14

tan 60* = 1.73

tan 60* (1.73 x 14) = x

24.22 = x

Your answer should be 24.22

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The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

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Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

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Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

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$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

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