<span>Replace tan θ with sin θ/cos θ
= sin²θ/cos θ + cos θ
Now multiply the right-hand side by cos θ/cos θ to get the same denominator:
= sin²θ/cos θ + cos²θ/cos θ
= (sin²θ + cos²θ)/cos θ
The numerator is equivalent to 1:
= 1 / cos θ
= sec θ</span>
Answer:
domain = all real numbers
Step-by-step explanation:
domain is the x axis
its asking what it goes to but if they have arrows then forever
we know that in direct variation as x increase y also increases.
in indirect variation x decreases y increase and vice versa.
in part a we have x at top (numerator ) and y at denominator it mean indirect variation (as x increases y decreases).
to find k we know that for indirect variation xy=k
if we rewrite the equation x=9/y we get xy=9
which mean k=9 .
in part b we have 4xy=20 if we simplify this equation we get

so here if we rewrite in terms of x.
we get x=5/y which represents indirect variation.
and we know xy=k
we have xy=5 .so k=5
Answer:
(8+9) 3 - 1 = 50
Step-by-step explanation:
8 + 9 = 17
17 x 3 = 51
51 - 1 = 50
Answer:
see below
Step-by-step explanation:
y = 10x - 32
To find the x intercept set y =0 and solve for x
0 = 10x -32
Add 32 to each side
32 = 10x
Divide by 10
32/10=10x/10
3.2 = x
To find the y intercept set x =0 and solve for t
y = 10*0 -32
y= -32