Sin 135 - Cos 120/
sin 135 + Cos 120
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Answered by
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
4
hyy !!! here is your answer
i hope it is helpful for you!!!!
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