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Anestetic [448]
3 years ago
14

Need help with this question quick. Pre calculus question

Mathematics
1 answer:
Sholpan [36]3 years ago
8 0

Answer: -56/65

sin α = 4/5 => cos α = 3/5 (because 0 < α < pi/2)

cos β = -12/13 ⇒ sin β = 5/13 (because pi/2 < β < pi)

we have:

cos(α + β) = cosα.cosβ - sinα.sinβ = \frac{3}{5}.\frac{-12}{13}-\frac{4}{5}.\frac{5}{13}=\frac{-56}{65}

Step-by-step explanation:

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blondinia [14]

Answer:

Option A is correct because sum of m<2 and m<3 are complementary. So m<2+m<3 =90° .

Step-by-step explanation:

Given: <2 and <3 are complementary angles.

Definition of complementary angles says if two angles sum is equal to 90 degrees then they are called complementary angles.

Statement                                                       Reason

1.<2 and <3 are complementary                 1. Given

2. m<2+m<3 =90°                                         2. Definition of complementary <s

3. m<1= m<3                                                  3. Given

4. m<1+m<2= 90°                                          4.Substitution property of =

5. <1 and <2 are complementary               5. Definition of complementary <s.

Option A matches with the given. We can not use addition properties of equality for statement 2 so, other options are incorrect.

So, according to the given options A is correct.

You can learn more about complementary angles at brainly.com/question/21400774

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