34.3k views
1 vote
POSSIBLE POINTS:

Find cott given that cost =
and cott < 0. Show all algebraic work to support your answer.
Please quickly

POSSIBLE POINTS: Find cott given that cost = and cott < 0. Show all algebraic work-example-1
User Olli K
by
7.8k points

1 Answer

4 votes

Recall that

cos²(x) + sin²(x) = 1

for any x. Also, remember that cotangent is defined as

cot(x) = cos(x) / sin(x)

We're given that cos(t ) = 5/13 and cot(t ) < 0, which means sin(t ) must be negative. So when we solve for sin(t ) in the first relation, we have to take the negative square root:

sin²(t ) = 1 - cos²(t )

sin(t ) = -√(1 - cos²(t ))

sin(t ) = -√(1 - (5/13)²) = -12/13

Then

cot(t ) = (5/13) / (-12/13) = -5/12

User POMATu
by
8.9k points

Related questions

1 answer
2 votes
159k views
asked Jan 14, 2024 2.0k views
Ericslaw asked Jan 14, 2024
by Ericslaw
7.8k points
1 answer
0 votes
2.0k views
asked Aug 3, 2024 154k views
Liu Peng asked Aug 3, 2024
by Liu Peng
7.8k points
1 answer
2 votes
154k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.