(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ = 
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 1 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (2, 2) into the partial equation
2 = 6 + c ⇒ c = 2 - 6 = - 4
y = 3x - 4 → B
Answer:
−6x^2+7x+1
Step-by-step explanation:
1)(7x+8x-4)=15x−4
2)15x-4-(6x^2+8x-5)=−6x2+7x+1
Y = 1
Using y = mx + c.
Compare to y = 1, y = 0x + 1 ,
We can see that the slope m = 0 and the vertical intercept, c = 1.
For the line perpendicular to y = 1
Condition for perpendicularity m₁m₂ = -1
m₁ = 0, m₂ = ?
0*m₂ = -1
m₂ = -1/0 = Negative Infinite or Infinite
Slope of line perpendicular to y = 1, is = Infinite.
It is not necessary to have a common denominator when you multiply two fractions
<h3>How to determine the true statement?</h3>
The statement is about the relationship between the denominator of fractions when they are multiplied
Take for instance, we have the following fractions
a/b and x/y
In the above fractions, we have
Numerator = a and x
Denominator = b and y
Where b and y do not have the same value
When they are multiplied, we have
Product = ax/by
The denominators do not have the same value
And we were able to calculate the product
This means that the fraction denominator do not have to be common
Read more about fractions at
brainly.com/question/1622425
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