Question

if X = sin 140 + cos 140 then X =
(1) X greater than
(2) X less than 0
(3) X is equal to zero
(4) X is greater than or equal to 0

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Answer 1

Answer:

x is less than 0 is the answer

hope you got it

Answer 2

Answer:

(2) X is less than 0

Step-by-step explanation:

Here,    X = sin 140 + cos 140

We have the relations sin (180-x) = sin x and cos (180-x) = -cos x

So,        X = sin 140 + cos 140

                = sin (180-40) + cos(180-40)

                = sin 40 + (-cos 40)

                = sin 40 - cos 40             --> I

For angles between 0 and 45, cos x is greater than sin x

Therefore, cos 40 > sin 40

             => sin 40 - cos 40 < 0

             => X < 0             [From I]

Hope this helps!