Question

If tan θ= 2−✓3 , then prove that tan³ θ + cot³ θ – 2 = 50​

Answer 1

Answer:

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Step-by-step explanation:

given, tan© = 2-√3

now, L.H.S. tan^3 © + cot^3 © - 2

= { ( tan^6 © + 1 ) ÷ tan^3 ©. } - 2 applying LCM

= [ ( 2-√3 )^6 + 1 ] ÷ ( 2-√3 )^3 - 2

by using calculator

= 52 - 2

= 50

= R.H.S

prove

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