Math, asked by vjr23, 7 months ago

Sin 135 - Cos 120/
sin 135 + Cos 120

Answers

Answered by sharmi007
12

Hlo buddy here is ur ans:_

{sin(135)−cos(120)}/{sin(135)+cos(120)} ——————— (1)

sin(135) = 1/√2,

cos(120) = -1/2,

Substituting these values in equation (1),

{(1/√2) - (-1/2)}/{(1/√2) + (-1/2)}

= (1/√2 + 1/2)/(1/√2 - 1/2)

= (√2 + 1)/(√2 - 1)

On rationalizing, i.e., multiplying and dividing by (√2 - 1), we get

= (√2 +1)*(√2 + 1)/(√2 - 1)*(√2 +1)

=(√2 + 1)^2/2–1

=(√2^2 + 2√2*1 + 1^2)/1

= 2 + 2√2 + 1

= 3 + 2√2.

Hope it helps u.♡

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Answered by rsharma03933
4

hyy !!! here is your answer

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