All categories

4 years ago

4 cot theta=tan thetahow do I I find the value of quadrant?

Mathematics

1 answer:

Ray Of Light [21]4 years ago

5 0

Answer:

4cotα=tanα

4(1/tanα)=tanα

(4/tanα)=tanα

cross multiply

=> 4=tan²α

√4=√tan²α

±2=tanα

α=arc( tan) |2|

α=63.4° ( in first quadrant)

and

α=180+63.4=243.4 in the third quadrant

since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)

α=180–63.4=116.6° in the second quadrant

α=360–63.4=296.6 in the fourth quadrant

therefore theta( in my case, alpha) lies in all four quadrants and is equal to:

α=63.4°,243.4°,116.6°and 296.6°

You might be interested in

1. If A+B+C=180

ruslelena [56]

Step-by-step explanation:

Hey there!

Look explanation in picture.

Hope it helps....

8 0

3 years ago

BRAINLIEST ASAP! LENGTH OF AC?

Levart [38]

Answer:

2.33 units

Step-by-step explanation:

$\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units$

6 0

3 years ago

Your dog is 16 years old in dog years. Your cat is 28 years old in cat years. For every human year, your dog ages by 7 dog years

Ber [7]

I see this as the difference in their current years is 12, and the difference between the number of years they both age in human years is 3, so after 4 human years they become the same age.

6 0

4 years ago

HELP PLEASE! Thank you! 15 POINTS

denis23 [38]

Answer:

Step-by-step explanation: for 8 thirds use the long lines to count back from 5 to 0 then once u get 0 use the little lines to get to 8 thirds towards 5 and do the same for -11 thirds but towrds -5

8 0

3 years ago

Find the number of permutations of the letters in the word: PHILADELPHIA

Paladinen [302]

There are 12 letters in P H I L A D E L P H I A AND THERE AE:
2 P, 2 H, 2 A, 2 I

Permutation of ¹²P₁₂ = 12! , but mind you there are repeated letters so
the final Permutation: 12!/(2!)(2!)(2!)(2!) = 29 937 600 ways of arranging letters

7 0

3 years ago

4 cot theta=tan thetahow do I I find the value of quadrant?​

4 cot theta=tan thetahow do I I find the value of quadrant?