The measure of right angle is 90

Plz help me with this...there might be errors in this but I'm not sure

Flura [38]

Step-by-step explanation:

1. cot(A − B)

From angle sum/difference equations, we know this equals:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

But we also know it equals:

cot(A − B) = 1 / tan(A − B)

cot(A − B) = (1 + tan A tan B) / (tan A − tan B)

Setting the two equal to each other:

(cot A cot B + 1) / (cot B − cot A) = (1 + tan A tan B) / (tan A − tan B)

Writing tangent in terms of cotangent:

(cot A cot B + 1) / (cot B − cot A) = (1 + 1 / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = ((cot A cot B + 1) / (cot A cot B)) / (tan A − tan B)

(cot A cot B + 1) / (cot B − cot A) = (cot A cot B + 1) / ((cot A cot B) (tan A − tan B))

Divide both sides by the numerator:

1 / (cot B − cot A) = 1 / ((cot A cot B) (tan A − tan B))

Take inverse of both sides:

cot B − cot A = (cot A cot B) (tan A − tan B)

Solve for cot A cot B:

cot A cot B = (cot B − cot A) / (tan A − tan B)

cot A cot B = a / b

Now substitute into the first angle difference equation we wrote earlier:

cot(A − B) = (cot A cot B + 1) / (cot B − cot A)

cot(A − B) = (a / b + 1) / a

cot(A − B) = (a / b) / a + 1 / a

cot(A − B) = 1 / b + 1 / a

2. cos A / (1 ± sin A)

From angle sum/difference formulas, we know:

sin (90 ± A) = cos A

cos (90 ± A) = ∓ sin A

Substituting:

sin (90 ± A) / (1 − cos (90 ± A))

From half angle formula, this equals:

cot (45 ± A/2)

Using reflection:

-cot (-45 ∓ A/2)

And finally, phase shift:

tan (-45 ∓ A/2 + 90)

tan (45 ∓ A/2)

Check that you wrote the problem correctly. Looks like you switched ∓ with ±.

8 0

3 years ago

It says priya's family exchanged 250 dollars for 4,250 pesos. Riya bought a sweater for 510 pesos. how many did the sweater cost

ratelena [41]

$1 = $20.19 pesos, try dividing 510 pesos by 20.19. That should give you the dollar amount.

5 0

3 years ago

I'll mark you the brainiest if you get this right<br> thx x

Reptile [31]

Answer: 169

Step-by-step explanation:

52 divided by 4 is 13 so 13 times 13 is 169

6 0

3 years ago

Read 2 more answers

What time is 5 3/4 hours after 11:32 pm?<br> Please show work, thank you.

poizon [28]

we have to first convert fraction of hours into minutes

1 hour is equivalent to 60 minutes

then 3/4 hour is - 3/4 of 60

when the of function is used we have to multiply the 2 numbers

then $\frac{3}{4} * 60 = \frac{3*60}{4} = \frac{180}{4} = 45$

3/4 of an hour is equivalent to 45 minutes

then we have to add 5 hours and 45 minutes to 11.32 pm

add 5.45 to 11.32

11.32

5.45 +

-------

16.77

then its 16 hours and 77 minutes

an hour has only 60 minutes so we subtract 60 minutes from 77 minutes and add that hour to 16 hours

16 hours + 1 = 17 hours

77 minutes - 60 minutes = 17 minutes

17 hours 17 minutes

time is given in pm therefore its a 12 hour clock

so we have to subtract 12 hours from 17 hours 17 minutes

17.17 hours - 12 hours = 5.17

the new time is 5.17 am of the next day

8 0

3 years ago

Read 2 more answers

How many items are in the sample space for rolling a die and flipping a coin?

Blizzard [7]

Answer:

I think the answer would be 8 but I am not sure.

5 0

4 years ago