Given: theta in [pi /2, pi ] and tan theta = 1/3. Find sin theta and cos theta (but to find theangle is not needed)

Samson Kaufman

Samson Kaufman

Answered question

2022-08-04

Given: θ [ π / 2 , π ] and tan θ = 1 / 3.
Find sin θ and cos θ (but to find the angle is not needed)

Answer & Explanation

pelvogp

pelvogp

Beginner2022-08-05Added 18 answers

Given: θ [ π / 2 , π ] and tan θ = 1 / 3.
Find sin θ and cos θ (but to find theangle is not needed)
tan θ = 1 / 3 h y p = 9 + 1 = 10
sin θ = 1 / 10
cos θ = 3 / 10
traucaderx7

traucaderx7

Beginner2022-08-06Added 2 answers

we have two solutions to the question
tan θ = 1 / 3
clearly we have a right angle triangle with
p=1, b=3
thus h = 3 2 + 1 2 = ± 10
so either cos θ = 3 / 10 , sin θ = 1 / 10
or cos θ = 3 / 10 , sin θ = 1 / 10
if n is specified then θ and thus exact solution can be determined

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?