2015 · Q66
If tan A + cot A = 4 then tan⁴A + cot⁴A is equal to
Elementary MathematicsTrigonometry
- A110
- B191
- C80
- D194
Explanation
tanA + cotA = 4 → squaring: tan²A + cot²A = 16 − 2 = 14; squaring again: tan⁴A + cot⁴A = 196 − 2 = 194 (option D).
If tan A + cot A = 4 then tan⁴A + cot⁴A is equal to
Explanation
tanA + cotA = 4 → squaring: tan²A + cot²A = 16 − 2 = 14; squaring again: tan⁴A + cot⁴A = 196 − 2 = 194 (option D).