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Mathematics

2 answers:

NikAS [45]3 years ago

5 0

Answer:

Step-by-step explanation:

√(1 - cos^2x) = sin x

and

√(1 - sin^2x) = cos x

So the expression becomes:

sin x / sin x + cos x / cos x

= 2

Aliun [14]3 years ago

3 0

Answer:

Step-by-step explanation:

using the trigonometric identity

• sin²x + cos²x = 1

⇒ sinx = √(1 - cos²x) and cosx = √(1 - sin²x)

We can express as

$\frac{sinx}{sinx}$ + cosx / cosx = 1 + 1 = 2 → H

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Answer:

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7 0

2 years ago

1 over the square root of 8 = 4^(m − 2)?

andrew11 [14]

Answer:

5.5

Step-by-step explanation:

$\frac{1}{ \sqrt{8} } = {4}^{(m - 2)} \\$

Squaring both sides

$\frac{1}{8} = {4}^{2(m - 2)} \\ \frac{1}{8} = {4}^{2} \times {4}^{(m - 2)} \\ \frac{1}{8 \times {4}^{2} } = {4}^{(m - 2)} \\ \frac{1}{8 \times 16} = {4}^{(m - 2)} \\ \frac{1}{128} = {4}^{(m - 2)} \\ log_{4}(128) = (m - 2) \\ \frac{7}{2} = m - 2 \\ m = \frac{11}{2} = 5.5$