Given that the final edge of angle a is on the line y = - 2x, find the values of sina and cosa

Given that the final edge of angle a is on the line y = - 2x, find the values of sina and cosa

1. If the final edge of the angle is in the second quadrant. If we take a point Q (- 1,2) on the final edge of angle a, then x = - 1, y = 2, so that R? = x? + y? = 5, that is, r = √ 5. Sina = Y / r = 2 / √ 5, cosa = x / r = - 1 / √ 5, Tana = Y / x = - 2
2. If the final edge of the angle is in the fourth quadrant, then the point Q (1, - 2) can be taken

We know that the final edge of the angle a is on the line y = root 2x. Find the values of sina, cosa, Tana

y=√2x
Then Tana = √ 2
tana=sina/cosa=√2
Sina = √ 2cosa square
sin^2a=1-cos^2a=2cos^2a
cosa=±√3/3
sina=±√6/3
Notice that sina and cosa are both positive and negative

Given a point P (radical 3, m) (M > 0) on the final edge of angle a, and Sina = 2 / 4 root sign m, find cosa, Tana, a refer to alpha

Because of the point P (√ 3, m), the three sides of the triangle are √ 3, m, √ (3 + m ^ 2)
Because sin a = (√ 2) m / 4, M = ± √ 5
Because m > 0, M = √ 5
In other words, sin a = (√ 2) (√ 5) / 4 = (√ 10) / 4
So cos a = (√ 6) / 4
tan a=（√15）/3

Given a point P (- radical 2, m) and Sina = [(radical 2 / 4) m) m on the final edge of the angle a, find the values of cosa and Tana The solution requires a process

This is an angular function (may be mistaken) from point P, the final edge in the second quadrant (x0) is cosa

(1-cosa ^ 2) + 1-sina ^ 2) = Sina cosa. It is known that a belongs to the value range of [0,2 π) a,[0,π/2] b,[π/2,π] c,[π,3π/2] d,[3π/2,2π）

(1-cosa ^ 2 + 1-sina ^ 2) = | Sina | + | Cosa | = Sina cosa
So Sina > 0, cosa

If Sina > cosa is known, the root sign (1-2sinacosa) / Sina cosa=

√(1-2sinacosa)/(sina-cosa)
=√(sin^2a-2sinacosa+cos^2a/(sina-cosa)
=√(sina-cosa)^2/(sina-cosa)
Because Sina > cosa
So = (Sina COAs) / (Sina COSA)
=1
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Find the value range of the angle a satisfying the condition, sina is less than or equal to the root sign 3 / 2, and get the graph

What kind of map do you need
The graph of trigonometric function image
The range of angle is [2K π - 4 π / 3,2k π + π / 3], K ∈ Z

If sina is less than or equal to two-thirds root sign 3, find the value range of A

In the range of 0 to 360 degrees, a is greater than or equal to 0 degrees but less than or equal to 45 degrees, and a is greater than or equal to 135 degrees and less than or equal to 360 degrees

In the triangle ABC, cosa = root 3 * Sina, then the value set of angle a is?

So there is root 3 in cosa

Given that ∠ A is an acute angle, then the square of (sina-1) under the radical is reduced to

1-sinA