Question

if theta is an actual angel and tan theta plus cotton theta is 2 find the value of tan cube theta plus cotton cube theta.​

Answer 1

**Let theta be represented as Q**

Given that,

tanQ + cotQ = 2

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Note:

(a^3+b^3) = (a+b)^3 - 3ab(a+b) ------------(1)

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Therfore, {From(1)}

== tan^3Q + cot^3Q = (tanQ + cotQ)^3 - 3tanQcotQ(tanQ + cotQ)

= (2)^3 - [3(tanQ * 1/tanQ) (2)] = 8 - [3(2)]

= 8 - 6

= 2 //

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