Question

Consider the statements given below
I. $\sin x$ is positive in first and second quadrants.
II. $\mathrm{cosec}x$ is negative in third and fourth quadrants.
III. $\tan x$ and $\cot x$ are negative in second and fourth quadrant.
IV. $\cos x$ and $\sec x$ is positive in first and fourth quadrants.
Choose the correct option.

• A. All are correct
• B. Only I and IV are correct
• C. None is correct
• D. Only III and IV are correct

Answer 1

Answer: (A)

The signs of trigonometric functions in different quadrants are shown below.

	I	II	III	IV
sin x	+	+	-	-
cos x	+	-	-	+
tan x	+	-	+	-
cosec x	+	+	-	-
sec x	+	-	-	+
cot x	+	-	+	-

According to the above table, option (a) is correct.