1/sin a -1/cosec a+/cot a= 1/ cosec a - cot a-1/sin a

See proof below

Step-by-step explanation:

Given the equation, we are to prove that it is true

(cosec a + 1)*(1 - sin a)= cos a* cot a

From LHS

(cosec a + 1)*(1 - sin a)=

Expand

cosec a - cosecasina + 1 - sina

Since cosec a = 1/sina

1/sina - (1/sina)sina + 1 - sina

1/sina - 1 + 1 - sina

1/sin a - sina

Find the LCM

1-(sin^2a)/sina

cos^2a/sina

cosa * cosa/sina

cos a * cot a (which gives the RHS)

- 70

this is the answer for you hope it

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950