Solving the system we get, x= -1, y= -2 and z= 0
Step-by-step explanation:
Solving the equations to find x, y and z
Adding eq(1) and eq(2)
Adding eq(2) and eq(3)
Multiplying eq(4) by 3 and eq(5) by 2
So, value of z =0
Putting value of z in eq(4)
So, value of x = -1
Now putting value of z=0 and x =-1 in equation 1
So, value of y = -2
So, solving the system we get, x= -1, y= -2 and z= 0
Keywords: Solve the system
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Answer: 4
Step by step explanation
-9-f-7=-7f+8
7f-f=9+8+7
6f=24
f=24/6
f=4
Answer:
the 3rst one
Step-by-step explanation:
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)
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Answer:
-83
Step-by-step explanation:
x+(x+1)=number
x+(x+1)=-165
2x+1=-165
-1 -1
2x=-166
/2 /2
x=-83
We can check our work by adding -83+-82=-165 because -83 would be the smaller number.
-83.
