Question

tan a + 4cot a=4 then find tan^3a+cot^3a​

Answer 1

Step-by-step explanation:

ANSWER

tanA+cotA=4

(squaring both sides)

(tanA+cotA)

2

=4

2

⇒tan

2

A+cot

2

A+2(tanA)(cotA)=16

⇒tan

2

A+cot

2

A+2=16

⇒tan

2

A+cot

2

A=16−2

⇒tan

2

A+cot

2

A=14

(on squaring both sides)

⇒(tan

2

A−cot

2

A)

2

=(14)

2

tan

4

A+cot

4

A+2(tan

2

A)(cot

2

A)=196

tan

2

A+cot

4

A=196−2

=194

Option D is correct