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Mathematics

1 answer:

Cloud [144]2 years ago

6 0

Answer:

its the first one

Step-by-step explanation:

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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

Evaluate 6 over 3 plus 7 times 4

ehidna [41]

the answer is B. 244

5 0

3 years ago

Help please this i will mark brainliest please

solniwko [45]

Step-by-step explanation:

please complete your question

6 0

2 years ago

Maggie's brother is three years younger than twice her age. The sum of their ages is 24 how old is maggie?

Vanyuwa [196]

The variable for Maggie will be M and 2x-3 be her younger brothers age (Twice her age). We then would turn this into an algebraic problem. (m+2x -3=24).

3x-3=24, we would add 3 to both sides (-3 and 24). 24 + 3 equals 27, we now have to divide -3x and 27 on both sides, which equals 9. (x=9)

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2 years ago

Marvella writes the addition problem 5 + 6. Is this sum even or odd

Lemur [1.5K]

Your answer is going to be odd

6 0

3 years ago

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