Practice30Create account

For acute θ with sin θ + cos θ = √2, find tan θ + cot θ.

Competition practiceTrigonometry
  • A2
  • B1
  • C√2
  • D4

Step-by-Step Solution

Squaring: 1 + 2 sin θ cos θ = 2, so sin θ cos θ = 1/2. tan θ + cot θ = 1/(sin θ cos θ) = 2.
Answer: A) 2

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

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.2 cos²θ − 3 cos θ + 1 = 0 and 0° < θ < 90°. Find θ.