Question

find value of cot 75°​

Answer 1

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Step-by-step explanation:

Show that tan 75° + cot 75° = 4. Multiply by (√3 + 1) on both numerator and denominator. Instead of finding the value of cot 75, let us find the value of tan 15.

Answer 2

Cot(A+B)=( CotA CotB-1)/(CotA+CotB)

- Cot 75⁰= -Cot(45⁰+30⁰)

= −[(Cot 45⁰Cot30⁰-1)/(Cot45⁰+Cot30⁰)]

= -(√3–1)/(1+√3)= (1-√3)/(1+√3)

= (1-√3)(1-√3)/(1+√3)(1-√3)

=( 4–2√3)/(-2)

= √3–2

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