(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
The equation that shows the relationship between x and y is:
y = 5x
A linear equation is in the form:
y = mx + b
where m is the rate of change and b is the initial value of y, y, x are variables.
Let x represent the number of nights knitting and y represent the length of the scarf.
The equation that shows the relationship between x and y is:
y = 5x
Find out more at: brainly.com/question/13911928
Answer:
true
Step-by-step explanation:
