Question

tan A+cotA = 4 then tan⁴A+cot⁴A =?​

Answer 1

tanA+cotA=4

sin/cos+cos/sin=4

On squaring we get:

sin^2/cos^2,+cos^2/sin^2=16

sin^2×cos^2+sin^2×cos^2/Sin^2×cos^2=16

Sin^2×cos^2=16

Again on squaring

sin^4×cos^4=256