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Chapter 6: Q. 17 (page 436)

Fill in each table entry with the sign of each function.


sin(x)cos(x)tan(x)sec(x)cosec(x)cot(x)
x in Q1





x in Q2





x in Q3





x in Q4





Short Answer

Expert verified

sin(x)cos(x)tan(x)sec(x)cosec(x)cot(x)
x in Q1
 + + + + + +
x in Q2
 + - - - + -
x in Q3 - - + - - +
x in Q4 - + - + - -

Step by step solution

01

Step 1. Recollecting information

In first quadrant all the trigonometric functions are positive hence all have sign = +

In second quadrant only sin and cosec functions have positive value

In third quadrant only tan and cot have positive value .

In fourth quadrant only cos and sec are positive

02

Step 2. Filling the table


sin(x)cos(x)tan(x)sec(x)cosec(x)cot(x)
x in Q1 + ++ + + +
x in Q2 + - - - + -
x in Q3 - - + - - +
x in Q4
 - + - + - -

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