1.

If tan a + cot a is equals to 4 then find Tan 5A + cot 5A​

Answer»

Answer:

tanA+cotA=4

(squaring both sides)

(tanA+cotA)2=42

⇒tan2A+cot2A+2(tanA)(cotA)=16

⇒tan2A+cot2A+2=16

⇒tan2A+cot2A=16−2

⇒tan2A+cot2A=14

(on squaring both sides)

⇒(tan2A−cot2A)2=(14)2

tan4A+cot4A+2(tan2A)(cot2A)=196

tan2A+cot4A=196−2

=194

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