(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:
(
−
5
,
1
)
Step-by-step explanation:
Use the midpoint formula to find the midpoint of the line segment.
Answer:
-3
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
if we plug in the values and solve, that gets you -3.
Answer: 4√2
square root of a number is the factor that we can multiply by itself to get that number.
The square root symbol is also called as a RADICAL.
Perfect squares are the squares of the integers also called as square numbers.
to find the square root of non-perfect squared numbers we have to check the number with a near-perfect squared numbers
how to find square root of non perfect squared numbers:
If we can't figure out what factor multiplied by itself will result in the given number, we can make a factor tree.
Factor tree of 32 = 2*2*2*2*2
= (2*2) * (2*2) *2
= (4)2 *2
Therefore √/32 = √/2*2*2*2*2
= √/(4)2*2
= 4√/2
learn more about square roots here:
brainly.com/question/428672
brainly.com/question/3617398
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Answer:
y = -4x+14
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
m = (2-10)/(3-1)
=-8/2
= -4
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -4x+b
Substitute a point into the equation
10 = -4(1)+b
Add 4 to each side
14 = b
y = -4x+14
