Prove the following relations: cot²a-cos²a = cot²a cos²a

please help..)):​

Takin LHS

cot²a . cos²a

cos²a/sin²a-cos²a

cos²a -cos²a.sin²a/sin²a

cos²a(1-sin²a)/sin²a

cot²a.cos²a LSH=RHS PROved

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: