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Algebra

Solve the following:
secx = -5

find sin 2x

find cos 2x

tan 2x

if tan x = 1/2
find sin x/2

cos x/2

Solution Preview

Solve the following:
secx = -5

find sin 2x

find cos 2x , tan 2x

We know that 1+tan^2(x) = sec^2(x)

Here we are given sec(x) =-5

so, sec^2(x) = (-5)^2 = 25

So 1+ tan^2(x) = 25 and tan^2 (x) = 25-1 => tan(x) = sqrt(24)=> sqrt(6*4)=> 2 sqrt(6)

tan(x) = 2 sqrt(6)

Now, we ...

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