3 years ago

What’s the measure of str

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

Answer:

I believe its 45 degrees.

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6 numbers form an arithmetic sequence with a common difference of 4. THe sum of these numbers equals 12. What are the 6 numbers.

frutty [35]

Answer: See explanation

Step-by-step explanation:

We will use the formula for an arithmetic sequence which will be:

a + (n - 1)d

where a = unknown

n = 6

d = 4

We then slot them into the formula

a + (6 - 1)4 = 12

a + 5(4) = 12

a + 20 = 12

a = 12 - 20

a = -8

The 6 numbers are

1st term = -8

2nd term = -8 + 4 = -4

3rd term = -4 + 4 = 0

4th term = 0 + 4 = 4

5th term = 4 + 4 = 8

6th term = 8 + 4 = 12

5 0

3 years ago

1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$