Practice30Create account

The expression tanA/(1 − cotA) + cotA/(1 − tanA) simplifies to:

Competition practiceTrigonometry
  • A1 − secA·cosecA
  • BsecA·cosecA
  • C1 + tanA·cotA
  • D1 + secA·cosecA

Step-by-Step Solution

Combining over a common denominator reduces the sum to 1 + tanA + cotA, and tanA + cotA = 1/(sinA·cosA) = secA·cosecA, giving 1 + secA·cosecA.
Answer: D) 1 + secA·cosecA

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

The expression sinθ/(1 + cosθ) + (1 + cosθ)/sinθ simplifies to:If A + B = 90°, then (tanA·tanB + tanA·cotB)/(sinA·secB) − sin²B/cos²A simplifies to:The angle of elevation of the top of a hill from the foot of a 20 m tower is 60°, and…If 7sin²θ + 3cos²θ = 4 and θ is acute, then tanθ equals:If a·cosθ − b·sinθ = c, then a·sinθ + b·cosθ equals: