Answer:
The value of Cos (-Ф)
.
Step-by-step explanation:
Given Trigonometric function as :
sin( - Ф ) = 
- sin Ф = 
So, sin Ф = 
Now, as sin Ф = 
So ,
= 
So, perpendicular = 3
And hypotenuse = 5
Now,<u> From Pythagoras Theorem</u>
Base ² = Hypotenuse² - Perpendicular²
Or, Base ² = 5² - 3²
Or, Base ² = 25 - 9
Or, Base ² = 16
∴ Base = 
I.e Base = 4
Now, Cos Ф = 
So, Cos Ф = 
Now , Since
Cos ( - Ф ) = Cos Ф
So, Cos ( - Ф ) = Cos Ф = 
Hence The value of Cos (-Ф)
. Answer
Answer:
∠ B = 85°
Step-by-step explanation:
Complementary angles sum to 90° , then
x - 23 + 2x + 29 = 90 , that is
3x + 6 = 90 ( subtract 6 from both sides )
3x = 84 ( divide both sides by 3 )
x = 28
Then
∠ B = 2x + 29 = 2(28) + 29 = 56 + 29 = 85°
You can but it isnt really a good idea to do that if you want full credit
Step-by-step explanation:
x2 - 4x - 12
Finding factors of 12 then
x2 - 6x + 2x - 12
x( x - 6) + 2 (x - 6)
So the factors are (x+2) (x-6)