Practice30Create account

For acute θ, cosec θ + cot θ = 5. Find cos θ.

Competition practiceTrigonometry
  • A12/13
  • B5/13
  • C13/12
  • D12/5

Step-by-Step Solution

cosec θ − cot θ = 1/5. Adding: 2 cosec θ = 26/5, so cosec θ = 13/5 and cot θ = 12/5. cos θ = cot θ/cosec θ = 12/13.
Answer: A) 12/13

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Trigonometry practice questions

More Trigonometry practice

For acute θ with sin θ + cos θ = √2, find tan θ + cot θ.a cos θ + b sin θ = 4 and a sin θ − b cos θ = 3. Find a² + b².What does (sec θ − cos θ)(cosec θ − sin θ)(tan θ + cot θ) equal?For acute θ, sec θ − tan θ = 1/4. Find sin θ.θ is acute and 3 sin θ + 4 cos θ = 5. Find tan θ.