Advanced Mathematics: Trigonometry Question

[Dim Ray]

Hi! kwa members wote wa JF

Straight to the point kuna haya maswali naomba msaada

1. Find CotB if CosA=1/4 and Cos(A-B)=8
2. Express CosecX+Cosec2X+Cosec4X as the difference of two Cotangents natanguliza shukurani zangu

Stay Safe Corona ain't a doll to play with

 

[My Sons Legacy]

Jibu niliopata limekuja na Sin B

 

[Dim Ray]

Jibu niliopata limekuja na Sin B

jibu ni 12/31 sasa kulipata ndo shida.

maana angle A ina fit quadrant ya kwanza na ya nne

 

[Mama Debora]

Hi! kwa members wote wa Jf.
Straight to the point kuna hili swali naomba msaada
find CotB if CosA=1/4 and Cos(A-B)=8

Tangu lini cosine ya angle ikawa greater than unity.
Yaani cos(A-B)=8 ???
Maajabu ya karne. Angalia vizuri hizo data zako.

 

[Dim Ray]

mimi nili "expand" Cos(A-B) na kuingizia value za Cos A na Sin A halafu kwa kuwa tunamtafuta Cot B nika form hii equation ingine Sin²B+Cos²B=1 halafu nika let Sin B=X na Cos B=Y.

Resulting equations zikawa hizi

X²+Y²=1..........(i)
X+√(15)Y=32.....(ii)
Hapo nime assume angle A ipo kwenye first quadrant, shida ni kwamba jibu linakuja in terms of Complex number 😰

 

[Dim Ray]

Tangu lini cosine ya angle ikawa greater than unity.
Yaani cos(A-B)=8?
Maajabu ya karne. Angalia vizuri hizo data zako.

Data ziko correct

 

[My Sons Legacy]

jibu ni 12/31 sasa kulipata ndo shida.

maana angle A ina fit quadrant ya kwanza na ya nne

Nadhani this is the way

Value ya Cos A = 1/4 na Sin A = √15/4
Cot B = Cos B/ Sin B

Cos(A-B)=CosACosB + SinASinB
8=(1/4)CosB + (√15/4)SinB ~Divide by Sin B both sides
8/ SinB=(1/4)CosB/SinB + (√15/4)SinB/SinB
8/Sin B= CotB/4 + √15/4 ~Times by 4 both Sides

32SinB =Cot B + √15
Cot B = 32Sin B - √15

Haya Sin B tunaipataje tuiweke hapo
[emoji38][emoji38][emoji38][emoji38]

 

[Dim Ray]

Next Man, hilo tuli drop mkuu basi ni save hilo la Cosec🙏

 

[The Humble Dreamer]

Tanzania mnapenda kusumbua watu..kipindi hiki kigumu cha corona we unawaza kusolve tuu wakat hamjui mnarudi lini shule

 

[tang'ana]

wahandisi mnaitwa huku..maana hizi ndio mambo zenu za kila siku

 

[Entreprenuare]

wahandisi mnaitwa huku..maana hizi ndio mambo zenu za kila siku

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[Abdulhalim]

Cot (B)== 3.96065568193

 

[My Sons Legacy]

Cot (B)== 3.96065568193

Jamaa anasema jibu ni 12/31 yani 0.3871

I'm on that good kush and alcohol

 

[Abdulhalim]

Jamaa anasema jibu ni 12/31 yani 0.3871

I'm on that good kush and alcohol

who?

 

[My Sons Legacy]

who?

Unasoma Thread nusu nusu, alietoa swali

I'm on that good kush and alcohol

 

[Mgiriki MTz]

Wale wazee was BAM ngoja tukae pembeni

 

[Chenchele]

Tangu lini cosine ya angle ikawa greater than unity.
Yaani cos(A-B)=8 ???
Maajabu ya karne. Angalia vizuri hizo data zako.

You're too smart!