Suppose a= 1.885 and b= 3.572. Let θ be an angle in standard position that lies in Quadrant 3 with tan(θ)=ab. Find sec(θ). Round

Question

3 years ago

9

your answer to 3 decimal places.

2 answers:

Burka [1] · Answer 1 · 2022-07-01T00:11:58+03:00

Burka [1]3 years ago

4 0

Answer: sin 8/17

Step-by-step explanation:

Ket [755] · Answer 2 · 2022-07-01T02:20:44+03:00

9514 1404 393

Answer:

-1.131

Step-by-step explanation:

The relationship between secant and tangent is ...

sec²(x) = 1 + tan²(x)

In the 3rd quadrant, the secant is negative, so the value is ...

sec(θ) = -√(1 +tan²(θ)) = -√(1 +(1.885/3.572)²) ≈ -√1.278483718

sec(θ) ≈ -1.131