If cos2∝ + cos2ß = 2, then the value of tan5∝ + tan5ß is?

32 2 16 0

0

cos2∝ + cos2ß = 2 ⇒ 1 - sin2∝ + 1 - sin2ß = 2 ⇒  sin2∝ + sin2ß = 0 ⇒ sin2∝ = 0 & sin2ß = 0 ( because two positive terms give sum zero; when both are zero) ⇒ ∝ = ß = 0 ⇒ tan∝ = tanß = 0 ∴ tan5∝ + tan2ß = 0