Using the trigonometric definitions for any angle theta, the trigonometric functions that are undefined when x = 0 are and . The trigonometric functions that are undefined when y = 0 are and . The trigonometric functions that do not depend on the value of r are and .

Using the trigonometric definitions for any angle theta, the trigonometric functions that are undefined when x = 0 are tanθ and secθ. The trigonometric functions that are undefined when y = 0 are cotθ and cscθ. The trigonometric functions that do not depend on the value of r are tanθ and cotθ.

Step-by-step explanation:

Construct a trigonometric ratio for triangle and you will see that cot and tan are independent of the value, r.

NOTE: A ratio is undefined if the denominator is zero.

Also, from that trigonometric ratio constructed, if x=0, only tanθ and secθ become undefined. And if y=0, only cotθ and cscθ become undefined.

The attachment below shows a constructed trigonometric ratio.

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step-by-step explanation:

whenever we assume a point on a plane then according to geometry it will definitely have 2 dimensions and if it assumed in space then it will have 3 dimensions.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: