Math, asked by sivadasamal808, 8 months ago

prove that tan45-tan30÷1+tan45×tan30=2-sqrt{3}​

Answers

Answered by Anonymous
4

Step-by-step explanation:

tan 45 - tan 30 ÷ 1 + tan 45 × tan 30

=tan (45-30)

=tan 15

= 2- √3

Answered by Anonymous
4

Answer:

Step-by-step explanation:

From LHS,

=>1-1/√3÷1+1√3

=>√3-1/√3÷√3+1/√3

=>√3-1÷√3+1

=>(√3-1)(√3-1)/(√3+1)(√3-1)

=>3-√3-√3+1/(√3)^2-(1)^2

=>3-2√3+1/3-1

=>4-2√3/2

=>2(2-√3)/2

=>2-√3=RHS

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