1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
PtichkaEL [24]
3 years ago
8

If cos a = 0.465 and sin b = 0.131 (both angles are acute).

Mathematics
1 answer:
valentinak56 [21]3 years ago
3 0

Answer:

Correct answer:  cos (a + b) = 0.345  and cos (a - b) = 0.577

Step-by-step explanation:

If both angles are acute, this means that they belong to the first quadrant in which all trigonometric functions are positive.

We first need to know the basic trigonometric equation or identity:

sin²α + cos²α = 1

given: cos a = 0.465 and sin b = 0.131

we must first calculate sin a and cos b

sin²a = 1 - cos²a ⇒ sin a = √ 1 - cos²a = √1- 0.465² 0 √1 - 0.216 = √0.784

sin a = 0.885

cos²b = 1 - sin²b ⇒  cos b = √1 - sin²b = √1 - 0.131² = √1 -  0.017 = √0.983

cos b = 0.991

cos (a + b) = cos a · cos b - sin a · sin b =  0.465 · 0.991 - 0.885 · 0.131

cos (a + b) = 0.461 - 0.116 = 0.345

cos (a + b) = 0.345

cos (a - b) = cos a · cos b + sin a · sin b =  0.465 · 0.991 + 0.885 · 0.131

cos (a - b) = 0.461 + 0.116 = 0.577

cos (a - b) = 0.577

God is with you!!!

You might be interested in
Which table represents a linear function?
Rus_ich [418]
Linear means that the y values go up in a fixed increment, k.
In the first one, you see that 3+4=7, 7+4=11, and so on, so you can immediately tell that it's linear.

The second one goes 3+5=8, then 8+7=15, then 15+6=21, which aren't the same numbers.

The third increases and decreases, so it's not linear.

The fourth goes 3+6=9, then 9+18=27, which you can immediately tell is not linear.

Therefore, the only linear table would be the first one.
3 0
3 years ago
Read 2 more answers
What is log2x=22 in exponential form
tigry1 [53]

Answer:

3.091

=

22

Step-by-step explanation:

log

b

(

x

)

=

y

log

b

(

x

)

=

y

⟹

b

y

=

x

b

y

=

x

, to convert from the logarithmic form to the exponential form.

4 0
4 years ago
Help with this math problem
Law Incorporation [45]

Step-by-step explanation:

to enjoying life Hamari Hindu I can take you whatever you have with you

6 0
3 years ago
Xiao's teacher asked him to rewrite the sum 60+90 is the product of the GCF of the two numbers and the sum. Xiao wrote 3(20+30).
larisa [96]
Xiao was mistake because 3(20+30) still can divide by 10. The sum is 30(2+3)
5 0
4 years ago
Greg has enough framing to enclose a rectangular photograph with a perimeter of 160 centimeters. If the width of his photograph
kotegsom [21]

Answer:

32cm

Step-by-step explanation:

Let the width be w. Now we know that the width is 16cm less than the length, this means that the length will thus have a total length of w + 16

Now, we know that the perimeter of a rectangle is 2(l + b)

This means 2(w + w + 16) = 160

4w + 32 = 160

4w = 128

w = 128/4 = 32cm

8 0
4 years ago
Other questions:
  • A golf ball í hit off the ground at an angel pi/6 travels 400ft.how long in the air
    11·1 answer
  • Which expression is a factor of 18x^2-15x+2 a) 3x-2 B) 9x-1 C) x-2 D)2x-1
    10·2 answers
  • Find the measures of two supplementary angles if their measures are in the given ratio.3:7
    11·2 answers
  • The equation K = mv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the
    14·2 answers
  • F(x)=log2(x-3) find the domain of x
    8·1 answer
  • -15 + w = 6 can anyone help me out
    5·2 answers
  • Seventy-five percent of the medium-sized companies doing business in
    7·1 answer
  • Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
    8·2 answers
  • Solve the equation: 4 x 2 + 8 = - 7<br> X=
    12·2 answers
  • I will give brainliest<br> !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!