Answer: she made 11 sparkelers and gavin made 21
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x -
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified
Answer:
3/2
Step-by-step explanation:
Apply exponent rule: a^-1 = 1/a
(2/3)^1 = 1/2/3
Apply the fraction rule: 1/a/c = c/b
3/2