He can you guys help me with this ?

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

8 0

I’ll try my best but sorry if I can’t help a lot I’m not the best at math

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Given the function value of the acute angle find the other five trigonometric function values cos a= Sqrt 7/7

PilotLPTM [1.2K]

Well, we know the angle is acute, that means is less than 90°, meaning is in the first quadrant, that means the "x" or adjacent side as well as the "y" or opposite side, are both positive.

$\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\\\\
-------------------------------\\\\
cos(a)=\cfrac{\sqrt{7}}{7}\cfrac{\leftarrow adjacent}{\leftarrow hypotenuse}\quad \textit{now, let's find the \underline{opposite}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{7^2-(\sqrt{7})^2}=b\implies \pm\sqrt{49-7}=b\implies \pm\sqrt{42}=b
\\\\\\
\textit{now, which is it, the + or -? well, we're in the 1st quadrant, is }\sqrt{42}
$

$\bf 
\textit{now that you know all three sides, just plug them in}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
\\\\\\
% cotangent
cot(\theta)=\cfrac{adjacent}{opposite}
\qquad 
% cosecant
csc(\theta)=\cfrac{hypotenuse}{opposite}
\quad 
% secant
sec(\theta)=\cfrac{hypotenuse}{adjacent}$

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3 years ago

Find only the x-coordinate of either point of intersection.<br> Y=-x^2+8x-7<br> Y=x^2-8x+17

postnew [5]

The point of intersections should be (2,5) and (6,5) so the answers are 2 and 6.

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a gray whale traveled 152 kilometers in one day. the whale swam between 7 and 8 kilometers each hour.About how many hours did it

Leno4ka [110]

Answer:

152/7=21.714 hrs

152/8=19

It took the whale between 19 and 21.7 hours to swim 152 kilometers

Step-by-step explanation:

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He can you guys help me with this ?​

He can you guys help me with this ?