Question

θ is fourth quadratic angel and secθ=5/3 then what is the value of sin(-θ)-cosθ/tan(-θ)+sec(-θ)​

Answer 1

Answer:

Let us think theta as 'x'

So, given x belongs to 4th quadrant

In 4th quadrant, only cos and sec are positive. Remaining all functions are negative.

Given secx = 5/3 → cosx = 3/5

sin(-x) = -sinx

As cosx = 3/5, sinx = 4/5

But as x belongs to 4th Quadrant, sinx is negative.

So sinx = -4/5→ sin(-x) = 4/5

tan(-x) = -tanx

In 4th quadrant, tanx is also negative.

So, tanx = sinx/cosx = -4/3

→ tan(-x) = 4/3

Now substitute all the values in question.

Then you get,

(4/5-3/5)/(4/3+5/3) = 1/15

Answer 2

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• refer the attachment mate

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