Answer:
pOH = 9.4
Step-by-step explanation:
Mathematically;
pH + pOH = 14
pOH = 14 - pH
But pH = -log[H3O+]
From the question [H3O+] = 2.5 * 10^-5
Thus pH = -log (2.5 * 10^-5)
pH = 4.6
Thus;
pOH = 14-4.6
pOH = 9.4
We have proven that the trigonometric identity [(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] equals 1 + (secθ * cosec θ)
<h3>How to solve Trigonometric Identities?</h3>
We want to prove the trigonometric identity;
[(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] = 1 + sec θ
The left hand side can be expressed as;
[(tan θ)/(1 - (1/tan θ)] + [(1/tan θ)/(1 - tan θ)]
⇒ [tan²θ/(tanθ - 1)] - [1/(tan θ(tanθ - 1)]
Taking the LCM and multiplying gives;
(tan³θ - 1)/(tanθ(tanθ - 1))
This can also be expressed as;
(tan³θ - 1³)/(tanθ(tanθ - 1))
By expansion of algebra this gives;
[(tanθ - 1)(tan²θ + tanθ.1 + 1²)]/[tanθ(tanθ(tanθ - 1))]
Solving Further gives;
(sec²θ + tanθ)/tanθ
⇒ sec²θ * cotθ + 1
⇒ (1/cos²θ * cos θ/sin θ) + 1
⇒ (1/cos θ * 1/sin θ) + 1
⇒ 1 + (secθ * cosec θ)
Read more about Trigonometric Identities at; brainly.com/question/7331447
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Answer:
34,000 ÷ 1000 =340
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
The function is f(x) so if x is replaced with a number, that's the value that x is in the equation. In this case, it'll be -5, so go to -5 on your graph. The y value is 7.
Answer:
-6
Step-by-step explanation:
This means what value can I plug into -3x-8 so that I get output 10.
g(x)=-3x-8
g(a)=-3a-8
So we are going to solve g(a)=10 for a.
g(a)=10
-3a-8=10
Add 8 on both sides:
-3a =18
Divide both sides by -3:
a =-6
Check it!
g(-6)=-3(-6)-8=18-8=10 and it's good! :)
