The sketch shows two parallel lines cut by a transversal. Which set of angle pairs are NOT corresponding angles?
2 answers:
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We have been given an expression . We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.
Let us simplify our given expression.
Using exponent property, , we cab rewrite our given expression as:
Now we will use exponent property to further simplify our expression.
Therefore, Chris made mistake in step 2.
Answer:
cos B =
tan B =
sin B =
Step-by-step explanation:
In the right triangle, there are three sides and 2 acute angles
- Hypotenuse ⇒ the opposite side of the right angle
- Leg1 and Leg 2 ⇒ the sides of the right angle
The trigonometry functions of one of the acute angles Ф are
- sin Ф = opposite leg/hypotenuse
- cos Ф = adjacent leg/hypotenuse
- tan Ф = opposite leg/adjacent leg
In Δ ACB
∵ ∠C is the right angle
∴ AB is the hypotenuse
∵ AC is the opposite side of ∠B ⇒ leg1
∵ CB is the adjacent side of ∠B ⇒ leg2
→ By using the ratios above
∴ cos B = , tan B =
, sin B =
∵ CB = 7, AB = 25, AC = 24
∴ cos B =
∴ tan B =
∴ sin B =