Question

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

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

Answer 1

Answer: (A)

The signs of trigonometric functions in different quadrants are shown below

	I	II	III	IV
$\sin x$	+	+	-	-
$\cos x$	+	-	-	+
$\tan x$	+	-	+	-
$cosecx$	+	+	-	-
$\sec x$	+	-	-	+
$\cot x$	+	-	+	-

According to the above table, option is correct.