Answers

2015-06-17T19:04:42+05:30

I an using A for Θ

(1+tanA)(1-tanA) = 0

1-tan²A=1                                             (because (a+b)*(a-b)=a²-b²)

1-sec²A +1=0                                       (because tan²A =sec²A-1)

-sec²A+2=0

sec²A=2

cos²A=1/2                                            (because secA=1/cosA)

cosA=1/√2

therefore A= 45 degree and sinA = 1/√2

Therefore sinA+cosA=1/√2+1/√2

=2 / (√2)

=2√2 / 2

=√2

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