A is the acute angle cos (a + π / 6) = 4 / 5 to find sin (2a + π / 12)

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Let a be an acute angle and COS (a + π / 6) = 4 / 5, then the value of sin (2a + π / 12) will be calculated?

sin(2a+π/3)=2sin(a+π/6)cos(a+π/6)=2×3/5×4/5=24/25sin(2a+π/12)=sin(2a+π/3-π/4)=sin(2a+π/3)cosπ/4+cos(2a+π/3)sinπ/4=24/25×√2/2+7/25×√2/2=31√2/50

Given Sina = - 0.4, how many trigonometric functions can you find?

Because sin is negative, it is about 23.6 degrees when Sina = 0,4 a in quadrant 3,4
(180 + 23.6) K + 360 or (360-23,6) K + 360
There are countless solutions

Cos (a-3pai / 2) is equal to the formula

Cos (A-3 / 2 π) = cos (3 / 2 π - a) = cos (2 π - (π + a)) = cos (π + a) = - Sina

Cos [5 π + (π / 2 - α)] it is equal to - cos (π / 2 - α). Who can tell me how to get it

In this paper, we find that the period of the second quadrant is negative

In mathematics, please use simple language to express sin What are the opposite side and edge sine and cosine? I'm more stupid, ha ha

A triangle has three sides. Let's take a right triangle as an example (easy to understand, the same for other triangles): sin is a sine (a mathematical symbol), the opposite side of an angle in a triangle (the side opposite the corner) is greater than the hypotenuse (the longest side), and COS is the cosine (a mathematical symbol), The edge of an angle in a triangle is shorter than the hypotenuse

What do you mean by sin and COS in mathematics

The formula of sin and COS I want to know all the formulas for sin, cos, tan and cot And the formula of arcsin arccos acrtan arccot I forgot what I had learned before~

Basic relations of trigonometric functions with the same angle
Reciprocal relation: quotient relation: square relation:
tanα ·cotα＝1
sinα ·cscα＝1
cosα ·secα＝1 sinα/cosα＝tanα＝secα/cscα
cosα/sinα＝cotα＝cscα/secα sin2α＋cos2α＝1
1＋tan2α＝sec2α
1＋cot2α＝csc2α
Induction formula
sin（－α）＝－sinα
cos（－α）＝cosα tan（－α）＝－tanα
cot（－α）＝－cotα
sin（π/2－α）＝cosα
cos（π/2－α）＝sinα
tan（π/2－α）＝cotα
cot（π/2－α）＝tanα
sin（π/2＋α）＝cosα
cos（π/2＋α）＝－sinα
tan（π/2＋α）＝－cotα
cot（π/2＋α）＝－tanα
sin（π－α）＝sinα
cos（π－α）＝－cosα
tan（π－α）＝－tanα
cot（π－α）＝－cotα
sin（π＋α）＝－sinα
cos（π＋α）＝－cosα
tan（π＋α）＝tanα
cot（π＋α）＝cotα
sin（3π/2－α）＝－cosα
cos（3π/2－α）＝－sinα
tan（3π/2－α）＝cotα
cot（3π/2－α）＝tanα
sin（3π/2＋α）＝－cosα
cos（3π/2＋α）＝sinα
tan（3π/2＋α）＝－cotα
cot（3π/2＋α）＝－tanα
sin（2π－α）＝－sinα
cos（2π－α）＝cosα
tan（2π－α）＝－tanα
cot（2π－α）＝－cotα
sin（2kπ＋α）＝sinα
cos（2kπ＋α）＝cosα
tan（2kπ＋α）＝tanα
cot（2kπ＋α）＝cotα
(where k ∈ z)
Trigonometric function formula of sum and difference of two angles
sin（α＋β）＝sinαcosβ＋cosαsinβ
sin（α－β）＝sinαcosβ－cosαsinβ
cos（α＋β）＝cosαcosβ－sinαsinβ
cos（α－β）＝cosαcosβ＋sinαsinβ
tanα＋tanβ
tan（α＋β）＝——————
1－tanα ·tanβ
tanα－tanβ
tan（α－β）＝——————
1＋tanα ·tanβ
2tan(α/2)
sinα＝——————
1＋tan2(α/2)
1－tan2(α/2)
cosα＝——————
1＋tan2(α/2)
2tan(α/2)
tanα＝——————
1－tan2(α/2)
Sine, cosine and tangent formula of half angle
Sine, cosine and tangent formula of double angle
sin2α＝2sinαcosα
cos2α＝cos2α－sin2α＝2cos2α－1＝1－2sin2α
2tanα
tan2α＝—————
1－tan2α
sin3α＝3sinα－4sin3α
cos3α＝4cos3α－3cosα
3tanα－tan3α
tan3α＝——————
1－3tan2α
Sum difference product formula of trigonometric function
α＋β α－β
sinα＋sinβ＝2sin—－－·cos—－—
22
α＋β α－β
sinα－sinβ＝2cos—－－·sin—－—
22
α＋β α－β
cosα＋cosβ＝2cos—－－·cos—－—
22
α＋β α－β
cosα－cosβ＝－2sin—－－·sin—－—
2 2 1
sinα ·cosβ＝-[sin（α＋β）＋sin（α－β）]
Two
One
cosα ·sinβ＝-[sin（α＋β）－sin（α－β）]
Two
One
cosα ·cosβ＝-[cos（α＋β）＋cos（α－β）]
Two
One
sinα ·sinβ＝－ -[cos（α＋β）－cos（α－β）]
Two

Find the two formulas cos (θ ± β), sin (θ ± β) What is this formula called Do you have an encyclopedia

cos(a+b)=cos a*cos b-sin a*sin b
cos(a-b)=cos a*cos b+sin a*sin b
sin(a+b)=sin a*cos b+cos a*sin b
sin(a-b)=sin a*cos b-cos a*sin b

What is the maximum and minimum formula of sin and cos?

SiNx is maximum when x is Π / 2 + 2K Π
When x is - Π / 2 + 2K Π
Cosx is maximum when x is 2K Π
When x is - Π + 2K Π

A is the acute angle cos (a + π / 6) = 4 / 5 to find sin (2a + π / 12)