Answer:84f+57g
Step-by-step explanation:
First, multiply everything in parenthesis.
Multiply the 6 by 8f+10g, and the 4 by 3g+9f.
This gets you 48f+60g+9g-12g+36f.
After that, just solve it like normal.
You get 84f+57g.
Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Answer:
Step-by-step explanation:
Given that g is a function from g : {1, 2, 3} ->{1, 2, 4, 8}
by the function
i.e. we have 
Range = {2,4,8} Since there is an extra element 1 in the co domain which is not in range , g is not on to
But g is one to one as 1,2,3 have different images.
