Essential Question: What are trigonometric functions?
Learning Target: Students will be able to apply the three basic trigonometric functions to complete a triangle.
Complete the entire document and show all work for full credit.
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Day 1 5/7/26
Question 1
1.
Use the inverse trig function to find all the missing angles. (If needed round your answers to the nearest tenths place.)
sin Z = 0.8387
∠Z =_______ °
sin U = 0.6561
∠U =_______ °
cos U = 0.8480
∠U =_______ °
tan A = 1.0724
∠A =_______ °
cos Y = 0.3420
∠Y=_______ °
tan θ = 2.1445
∠θ=_______ °
Question 2
2.
Determine which inverse trigonometric function is need to find each angle.
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Use sin⁻¹ to Find the Unknown Angle
Use cos⁻¹ to Find the Unknown Angle
Use tan⁻¹ to Find the Unknown Angle
Using Trigonometry to Find Missing Angles
Question 3
3.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 4
4.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 5
5.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 6
6.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 7
7.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 8
8.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 9
9.
What inverse trigonometric function could you use to find the missing angle? (sin⁻¹, cos⁻¹, or tan⁻¹)
_______
What is the measure of θ ? (Round your answer to nearest degree)
m∠θ=_______°
Question 10
10.
You have right triangle ABC with the right angle at C.
You're given:
Side AC = 9 units
Side BC = 12 units
Angle C = 90°
🔍 Tasks:
Find the length of AB (the hypotenuse)._______
Find angle A (rounded to the nearest tenth of a degree)._______
Find angle B (rounded to the nearest tenth of a degree)._______