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morpeh [17]
3 years ago
8

In what quadrant does the angle 11pi/4 terminate? I II III IV

Mathematics
2 answers:
jok3333 [9.3K]3 years ago
6 0
Quadrant II.
__________
aliina [53]3 years ago
3 0

Answer:

Step-by-step explanation:

Alright, lets get started.

The given angle is \frac{11\pi }{4}

Please refer the diagram I have attached.

\frac{11\pi }{4} can be converted into degrees by

\frac{11\pi }{4}*\frac{180}{\pi }= 495

495 means 360+135

So, the terminal side in second quadrant.

Answer is second quadrant :   Answer

Hope it will help :)

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Step-by-step explanation:

by \: 30 \degree - 60 \degree - 90 \degree \: theorem \\  \\ 6 =  \frac{1}{2} b\\  \\ 6 \times 2 = b \\  \\ 12 = b \\  \\ \huge\red {\boxed {b= 12}} \\  \\ a =  \frac{ \sqrt{3} }{2} b \\  \\ a =  \frac{ \sqrt{3} }{2}  \times 12 \\  \\ \huge\purple {\boxed {a = 6 \sqrt{3}}} \\  \\ c =  \frac{1}{ \sqrt{2} } b \\  \\ c =  \frac{1}{ \sqrt{2} }  \times 12 \\  \\ c =  \frac{ \sqrt{2} }{2}  \times 12 \\  \\ \huge\orange {\boxed {c = 6 \sqrt{2}}} \\  \\

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