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rosijanka [135]

3 years ago

12

hey everyone!! im just doing a checkup, how is everyone doing? like with your mental health. if you need any help with anything

im here <3

1 answer:

Andreas93 [3]3 years ago

8 0

Answer:

I could be better, I failed this quarter in ELA and Math I feel like my dad hates me. How are you?

Step-by-step explanation:

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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.)

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So,

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