All categories

2 years ago

If cosθ=sinβ then the two angles must be

Mathematics

1 answer:

alex41 [277]2 years ago

4 0

Answer:

The answer is complementary ⇒ last answer

Step-by-step explanation:

In any right triangle there are two acute angles sum of them is 90°

∵ The two angles will be complementary if there sum is 90°

∵ cosФ = sinβ

∵ cosФ = sin(90 - Ф)

∴ β = 90 - Ф

∴ β + Ф = 90

∴ β and Ф are complementary

You might be interested in

Write and simplify the integral that gives the arc length of the following curve on the given interval b. If necessary, use tech

LiRa [457]

Answer:

L = 4.103

Step-by-step explanation:

we have length of curve

$L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx$

where $f(x) = d/dx(3*in(x)) = 3/x$

substituting for f(x), we have $L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx$

(since the limit is 2≤ x ≤5)

solving, $L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx$

Simplifying this integral, we have

L = 4.10321

8 0

3 years ago

What’s 7843 divided by 3

solmaris [256]

Answer:

2614.33333333

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Express the measurement 4.29478416 kg with 8, 6, 4, and 2 significant figures

ira [324]

Significant figures refers to digits within a number which must be included in other depict correct quantity of the figure.

4.29478416 = 4.2947842 ( 8 significant figures)
4.29478416 = 4.29478 (6 significant figures)
4.29478416 = 4.295 ( 4 significant figures)
4.29478416 = 4.3 (2 significant figures)

To round a number to a certain number of significant figures,

Only leading 0 which comes before the decimal Point are regarded as insignificant.
Once the number of significant figures have been identified, the next number after this is either rounded up to 1 and added to the last value(if number is ≥5) or rounded to 0 (if number is less than 5)

Learn. More : brainly.com/question/13386983?referrer=searchResults

3 0

2 years ago

Please explain step by step

Alja [10]

Let's find the value of x

Since the sum of internal angles of a triangle is 180°

therefore,

$\hookrightarrow \: (2x - 2) \degree + (x + 5) \degree + 90 \degree = 180 \degree$