Given cos α = - 8 / 17, find sin α, Tan α

Given cos α = - 8 / 17, find sin α, Tan α

Sin α = + - radical 1 - (COS α) ^ 2 = + - 15 / 17
tanα =sinα/cosα=+-15/8

Tan 4 degrees 45 minutes 49 seconds is equal to how many? How to find out with a calculator on the computer

Open the program - attachment - calculator, and you will see the interface for simple basic calculation. See the "view" item in the menu bar above, and convert it to "scientific type", so that you can calculate tan. Use ((49 / 60 + 45) / 60 + 4) to express your required angle in degrees, click Tan, and the result is 0.0833327959. You can also try 45, and then click Tan, which is equal to 1

Given that Tan (a + b) = 2 / 5, Tan (B - π / 4) = 1 / 4, find Tan (a + π / 4) =

tan(a+π/4）=tan[(a+b）-（b-π/4)]
=[tan（a+b）-tan（b-π/4）]/[1+tan（a+b)·tan（b-π/4）]
=[2/5-1/4]/[1+(2/5)·(1/4)]
=3/22

If Tan (a + b) = 2 / 5, Tan (b-pai / 4) = 1 / 4, then what is the value of Tan (a + Pai / 4)

The solution is as follows: Tan [a + (π / 4)] = Tan {(a + b) - [b - (π / 4)]} Tan {(a + b) [[b - (π / 4)]]} = {Tan {(a + b) - Tan [b - (π / 4)]]} = {Tan {(a + b) - Tan [b - (π / 4)]} / {1 + (a + b) × Tan [b - (π / 4)]], and} = [(2 / 5) [(1 / 4)] / [1 + (2 / 5) × (1 / 4)]] = (3 / 20) / (22 / 20) = 3 / 22 / 22 / 22 / 22 / 22) = 3 / 22 / 22 / 22 / 22 / 22 / 22 / 22 / 22 / 22 / 22 / 20) = it's a good idea

If cos (a + b) = 1 / 3 and COS (a-b) = 1 / 5, then Tan a times Tan B is equal to If cos (a + b) = 1 / 3 and COS (a-b) = 1 / 5, then Tan a times Tan B is equal to A1/4 B-1/4 C4 D -4

cos(a+b) = 1/3
cosa cos b - sina sinb = 1/3 ---(1)
cos(a-b)=1/5
cosa cosb + sina sinb = 1/5 ---(2)
(1) + (2)
2cosa cosb = 8/15 --(3)
(2) - (1)
2 sina sinb = -2/15 ---(4)
(4)/(3)
sinasinb/cosacosb = -1/4
tana.tanb = -1/4
ans :B

If α + β = 5 π / 4, then (1 + Tan α) (1 + Tan β) is equal to?

tan(α+β)=(tanα+tanβ)/(1-tanαtanβ)=tan(5π/4)=1
therefore
tanα+tanβ=1-tanαtanβ
(1+tanα)(1+tanβ)=1+tanα+tanβ+tanαtanβ
=1+tanα+tanβ+(1-tanα+tanβ)
=2

If Tan (α + β) = 2 / 5, Tan (β - Pai / 4) = 1 / 4, then the value of Tan (α + Pai / 4) is equal to? The answer is 3 / 22,

Let a = α + π / 4, B = β - π / 4, and tanb = 1 / 4, then:
tan(α+β)=tan(A+B)
=(tanA+tanB)/(1-tanAtanB)
=(tanA+1/4)/(1-tanA/4)
Let x = Tana
(x + 1 / 4) / (1-x / 4) = 2 / 5
x=3/22
Tan (α + π) = 3 / 22

How many degrees is Tan equal to Four Thirds?

It is generally believed that 53 ° is not an accurate value

It is known that Tan (α + β) = 2 5，tan(α+π 4)＝3 22, then Tan (β - π) 4) Equal to () A. 1 Five B. 1 Four C. 13 Eighteen D. 13 Twenty-two

Because Tan (α + β) = - 1, Tan (α + π)
4）=3
Twenty-two
∴tan（β−π
4）=tan[（α+β）-（α+π
4）]=tan(α+β)−tan(α+π
4)
1+tan(α+β)tan(α+π
4)=2
5−3
Twenty-two
1+2
5×3
22=1
Four
Therefore, B

Why is Tan [α - 2 π] equal to tan α always count to - Tan α

tan（a - 2 π）
= - tan（2 π - a）
= - tan （- a）
= - （- tan a）
= tan a