Tanθ + cotθ = 1/sinθcos<span>θ
since we know that;
tan</span>θ = sinθ/cos<span>θ, and
cot</span>θ = cosθ/sin<span>θ
now when we add tan</span>θ and cot<span>θ and replace their values;
tan</span>θ + cot<span>θ=sin</span>θ/cosθ + cosθ/sin<span>θ
</span>For a common denominator to add those two fractions, the obvious choice is sinθ.cosθ , so
tanθ + cotθ = sin²θ/sinθcosθ + cos²θ/sinθcosθ =sin²θ + cos²θ / sinθcosθ
now we can use the identity that;
sin²θ + cos²θ = 1
So,
tanθ + cotθ = 1/sinθcosθ
Answer:

Step-by-step explanation:
Let the number of acre of corn planted =x
Let the number of acre of soybeans planted =y
Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.
- Seed Cost for x acre of corn = $40x
- Seed Cost for y acre of soybeans = $32y
The farmer wants to spend no more than $5,000 on seed.
Therefore the linear inequality is:

Next, we graph the inequality

The graph is attached below.
Answer:
the answer is 7 it always is.
Answer:
Step-by-step explanation:
x y = 4^x (x, y)
-2 1/16 (-2, 1/16)
-1 1/4 (-1, 1/4)
0 1 (0, 1)
1 4 1, 4
3 64 3, 64
5 1024 (5, 1024)