Verify the identity algebraically:
cot(a) / (csc(a)-1) = csc(a) + 1/cot(a)

1

+

cot

2

x

=

csc

2

x

.

Step-by-step explanation:

"Remember that

1

+

cot

2

x

=

csc

2

x

.

Explanation:

cot

x

csc

x

−

1

=

csc

x

+

1

cot

x

Remember that

1

+

cot

2

x

=

csc

2

x

. This becomes useful if we multiply the terms with

csc

x

to get them squared:

cot

x

csc

x

−

1

(

csc

x

+

1

csc

x

+

1

)

=

csc

x

+

1

cot

x

cot

x

csc

x

+

cot

x

csc

2

x

−

1

=

csc

x

+

1

cot

x

We can now use

csc

2

x

−

1

=

cot

2

x

cot

x

csc

x

+

cot

x

cot

2

x

=

csc

x

+

1

cot

x

csc

x

+

1

cot

x

=

csc

x

+

1

cot

x"

the least common denominator is 40

just do 5.2 + 2 ( 7.2) and 1/3 x 3 (.9) and youv'e got your equation. 0.9( 9/10) + 7.2 ^2 = 16.4 hope i could !

step-by-step explanation: