Math, asked by dhaliwa168, 13 hours ago

tan (P+Q) = √3, tan (P-Q)=1/√3 find P and Q​

Answers

Answered by achyuttamroy
1

Answer:

P is 45 and Q is 15

Step-by-step explanation:

tan(P+Q)= tan 60            tan 60 = √3

tan(P-Q) = tan 30             tan 30 = 1/√3

on both sides so TAN gets cancelled

now P+Q=60

       P-Q = 30

On adding both +Q and -Q get cancelled and P and P add to form 2P also 60+30=90

2P = 90

P = 90/2

P= 45

now   45 + Q = 60

        Q = 60 - 45

        Q = 15

if correct please give me +3 points

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