Precalculus Homework help please.
1 answer:
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
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Answer:
Measure of angle K is 77 degrees.
Step-by-step explanation:
We are told lines 1 and 2 are parallel in the given image.
Now we will use alternate exterior angles theorem which states that angles that are on the exterior of parallel lines and opposite side of transversal are congruent.
(Alternate exterior angles)
Now we will get two equations as:
(Linear pair)
Now we will use substitution property to solve for k.
Therefore, measure of angle K is 77 degrees.