3 years ago

1. Find the value of sec Θ if tan Θ = -2 90° ≤ Θ ≤ 180°

Mathematics

1 answer:

blondinia [14]3 years ago

3 0

9514 1404 393

Answer:

1. (a) -√5

2. 3/5

Step-by-step explanation:

1. sec²(θ) = tan²(θ) +1

sec²(θ) = (-2)² + 1 = 5

sec(θ) = ±√5

In the second quadrant, secant is negative, so ...

sec(θ) = -√5

2. cos(θ) = 1/sec(θ)

cos(θ) = 1/(5/3)

cos(θ) = 3/5

You might be interested in

Please help!!! Isosceles, equilateral, or scalene

Elenna [48]

Answer:

scalene

Step-by-step explanation:

if a triangle has 3 different sides it's scalene if it has two sides that are the same it's isosceles and if all sides are the same it's an equilateral

4 0

4 years ago

Read 2 more answers

The smith family's car needed 4.2 gallons of gasoline to drive a distance of 150 miles. nbased on this information, determine th

Zina [86]

hmm. ill try to work it out. try searching it up on you tube or something

8 0

4 years ago

What is the place value of 7,852.209

Mashcka [7]

The 7 is in the thousands place, the 8 is in the hundreds place, the 5 is in the tens place, the 2 to the left side if re decimal point is in the ones place, the 2 to the right side of the decimal point is in the tenths place, the 0 is in the hundredths place, and the 9 is in the thousandths place.

4 0

4 years ago

Find the distance between these points. R(-1, O), S(8,6)

ANEK [815]

Answer:

d = 10.816654

Step-by-step explanation:

See Image