1 year ago

Consider the statement:

Mathematics

1 answer:

xz_007 [3.2K]1 year ago

5 0

Maybe pick a shape like a rectangle or something that disproves the conclusion

You might be interested in

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

$\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}$

7 0

3 years ago

In the diagram below bd is parallel to xy what is the value of x

Dominik [7]

Answer:

the answer is 76

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is 9+-234*37^2-38/483

STatiana [176]

37292827 the answer is that

6 0

2 years ago

Read 2 more answers

in recent years 17.7% of households watched the finals of a popular reality series. There are 110.2 million households in the Un

prisoha [69]

17.7% x
-------- = -----------------
100% 110,200,000

If 110.2 million households equals 100%, then you just cross multiply to solve for what households are 17.7% - which is 19,505,400.

6 0

2 years ago

B) Make b the subject of the formula a = 4 - 3b

Ira Lisetskai [31]

A=4-3b
subtract 4 from both sides
a-4=-3b
divide by -3 for both sides
(a-4)/-3 = b

5 0

2 years ago

Read 2 more answers