Answer:
a)
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
(5)
Using the trigonometric identity
sin²x + cos²x = 1 ⇒ cos²x = 1 - sin²x
Given
3sin²Θ + 2cos²Θ - 2
= 3sin²Θ + 2(1 - sin²Θ) - 2
= 3sin²Θ + 2 - 2sin²Θ - 2
= sin²Θ
(6)
Using the trigonometric identity
secx = 
Consider the left side

= 
=
= secx = right side ⇒ verified
(7)
Using the trigonometric identity
1 + cot²x = csc²x
Given
sin²x. cot²x + sin²x ← factor out sin²x from each term
= sin²x(cot²x + 1)
= sin²x. csc²x
= sin²x ×
= 1
If your saying one number is 9 more than the other then the two numbers are 28 and 37
5/9. 5 out of the 9 sections on the spinner are odd (not even) so there is a just over half chance of landing on an odd number, assuming that the weighting, wind, and other factors are equal.
Answer:
Step-by-step explanation:
4x - 12 = 11 - 3x
Bringing like terms on one side
4x + 3x = 11 + 12
7x = 23
x = 23/7