trigno rulz

Q If α and β are the roots of the equation atanθ +b secθ=c
find the value of

tan(α+β) and cos(α+β)

8 Answers

1
°ღ•๓яυΠ·

tan@=t

nw
u get a quadratic in terms of t

t^2(b^2-a^2)+2act+b^2-c^2=0

tan α+tan β=-2ac/(b^2-a^2)

tan α*tan β =b^2-c^2/(b^2-a^2)

nw u can find tan(α+β) =tanα+tanβ/(1-tanαtanβ)

nw
u can easily find cos(α+β) ...........also

if no then do knck

11
Mani Pal Singh ·

in terms of a and c

1
°ღ•๓яυΠ·

answer is
tan(α+β)=2ac/(a^2-c^2 )

1
Dharun ·

tan(α+β)=2ac/a^2-c^2

1
Dharun ·

cos(α+β)==a^2-b^2/a^2+b^2

its corrct???????

11
Mani Pal Singh ·

cos(α+β)==a^2-b^2/a^2+b^2

its corrct???????

nope dharun
check ur answer again

1
Dharun ·

same ans i am getting

what's the ans??????

11
Mani Pal Singh ·

answer is

c2-a2
-----
a2+c2

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