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nasty-shy [4]
1 year ago
11

Find an angle between 0 and 2\pi that is coterminal with -5pi/12

Mathematics
1 answer:
Korolek [52]1 year ago
8 0

Check the picture below.

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Find all solutions of the equation in the interval [0,2π) sec(theta) +2=0
Komok [63]
I will first reveal the most obvious secret of trig: Most of the problems are 30/60/90 or 45/45/90 triangles of some sort.

\sec \theta + 2  = 0

\dfrac{1 }{ \cos \theta} = -2

\cos \theta = - \frac 1 2

The rule to remember is \cos x = \cos a has solutions

x = \pm a + 2 \pi k \quad integer k

Continuing where we left off, a cosine of -1/2 is a 30/60/90 triangle in the second or third quadrant; we pick second, and a little thought tells us the angle is  120^\circ.

\cos \theta = - \frac 1 2

\cos \theta = \cos \frac {2\pi} 3

\theta = \pm \frac {2\pi} 3 + 2 \pi k \quad integer k

In the range we want, that's k=0 with the plus sign and k=1 with the minus, so 

\theta = \frac {2\pi} 3 or -\frac {2\pi} 3 + 2 \pi = \frac{4 \pi} 3

\theta = \frac {2\pi} 3 or \frac{4 \pi} 3
6 0
3 years ago
What is 1/9 written as a decimal AND a percentage?
julia-pushkina [17]
.1 repeating - decimal
11% - percentage
6 0
3 years ago
A single hab can have a length that is below 17 cm, but it must be no less than 9 cm. Write the compound inequality that describ
Vinvika [58]

Answer: 17>x greater than or equal to symbol 9

Step-by-step explanation: if it must be less than 17 you put less than and it can be no less than 9 meaning it can be greater than or equal to 9

6 0
3 years ago
Can somebody help me please​
serious [3.7K]

Answer: y-int ( 0, 0.4 )      x-int ( 0.3, 0 )

Step-by-step explanation:

Given in the graph

X axis and Y axis.

5 0
3 years ago
Read 2 more answers
MT is a diameter of OE. Calculate the measure of ZMTH.
irga5000 [103]

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

8 0
2 years ago
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