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:
You are 25
Step-by-step explanation:
This problem is a word problem that requires algebra notation, actually, we are meant to convert this word problem to mathematical expression then solve.
We proceed in a stepwise manner
let say what I have is x
1. Subtract 5 from me
(x-5)
2. Then add 2
(x-5)+2
3. If you subtract 10
(x-5)+2-10
4. And then add 3
(x-5)+2-10+3
5. you get 15
(x-5)+2-10+3=15
what am I is the question we need to answer, we do this by solving for x
x-5+2-10+3=15
x-15+5=15
x-10=15
x=15+10
x=25
Answer:
x=-11
Step-by-step explanation:
-3(x+2)=16-x
start with parenthesizes
-3*x=-3x
-3*2=-6
so you get
-3x-6=16-x
add the 6 to both sides
-3x=22-x
add x
-2x=22
divide by -2
x=-11
The x intercept ? I think this is what you mean
