Wataalamu wa mathematics msaada

[Victor 20]

a) if A + B + C= 180 degrees ,prove that sin(B+C-A) + sin (C + A-B)+ Sin (A+ B+C)= 4sin A sinB sinC

 

[Victor 20]

b)express Sin 5A interms of sin A jamani topic ya triginometrie wakuu msaada tafadhari

 

[HACHOKI TALEMWA]

a) if A + B + C= 180 degrees ,prove that sin(B+C-A) + sin (C + A-B)+ Sin (A+ B+C)= 4sin A sinB sinC

Umefanya ukaishia wapi nikuelekeze jinsi ya kuendelea?
weka sehem iliyokushinda

 

[itakiamo]

a) if A + B + C= 180 degrees ,prove that sin(B+C-A) + sin (C + A-B)+ Sin (A+ B+C)= 4sin A sinB sinC

apply sine both side kisha tumia idea ya multiple angle

 

[Mama Mdogo]

Issue: if A + B + C= 180 degrees ,prove that sin(B+C-A) + sin (C + A-B)+ Sin (A+ B+C)= 4sin A sinB sinC

Solution:

If A+B+C=180 degree, then: A+B=180-C (law of subtraction)

hence sin(A+B) = sinC, cos(A+B)=-cosC (law of trigonometry)

then: sin2A + sin 2B +sin2C = 2 sin(A+B)cos(A-B) + 2sinC cosC

=2sinC cos(A-B)+2sinC cosC

=2sinC (cos(A-b) + cos C)

=2sin C(cos(A-B) - cos(A+B) )

= 2sinC . 2sin A sin B

=4 sinA sin B sin C

 

[sembo]

Mama Mdogo umenikumbusha enzi hizo nipo katika kiwango bora kabisa katka hili somo.

 

[Dejane]

Mama Mdogo umenikumbusha enzi hizo nipo katika kiwango bora kabisa katka hili somo.

Tusoviee sasaaaa

 

[Mama Mdogo]

Mama Mdogo umenikumbusha enzi hizo nipo katika kiwango bora kabisa katka hili somo.

Hongera kijana. Sisi tulisoma enzi zile za Hesabu za Ushirika (Primary), Mathematics for Tanzanian schools (O level Secondary) na Advanced Mathematics (A level) na Pure and Applied Mathematics for Scientists (University).

 

[KVM]

Hongera kijana. Sisi tulisoma enzi zile za Hesabu za Ushirika (Primary), Mathematics for Tanzanian schools (O level Secondary) na Advanced Mathematics (A level) na Pure and Applied Mathematics for Scientists (University).

Hapo zamani kulikuwa na Hesabu za Kikwetu (Lower Primary School), Highway Mathematics (Extended and Upper Primary School), SMP au Entebbe(Modern Maths)(Secondary School), Advanced+Statistics+Mechanics(au Applied) High School.

Mambo yenda yakibadilika.

 

[kirumonjeta]

Mi nna alege na hili somo aisee

 

[miss chagga]

somo lenye jibu moja

 

[Skype]

Issue: if A + B + C= 180 degrees ,prove that sin(B+C-A) + sin (C + A-B)+ Sin (A+ B+C)= 4sin A sinB sinC

Solution:

If A+B+C=180 degree, then: A+B=180-C (law of subtraction)

hence sin(A+B) = sinC, cos(A+B)=-cosC (law of trigonometry)

then: sin2A + sin 2B +sin2C = 2 sin(A+B)cos(A-B) + 2sinC cosC

=2sinC cos(A-B)+2sinC cosC

=2sinC (cos(A-b) + cos C)

=2sin C(cos(A-B) - cos(A+B) )

= 2sinC . 2sin A sin B

=4 sinA sin B sin C

Nimependa unavokata nyanga yaani kitaalam bila blah blah. Very good!

 

[sembo]

Tusoviee sasaaaa

Haha.. Sasa hivi nishazeeka. Labda nimlete mwanangu Lilian atusaidie.

 

[sembo]

Hongera kijana. Sisi tulisoma enzi zile za Hesabu za Ushirika (Primary), Mathematics for Tanzanian schools (O level Secondary) na Advanced Mathematics (A level) na Pure and Applied Mathematics for Scientists (University).

Hii Trig niliichezea sana miaka ya 2003 mpaka 2005 pande za Minaki. Nilipoona unakokotoa kidogo machozi yanitoke, mana umenikumbusha mbali sana.

 

[Dejane]

Haha.. Sasa hivi nishazeeka. Labda nimlete mwanangu Lilian atusaidie.

Hhhhhhaaaaaa

 

[Paka Msee]

Hahahaaa.. we ni mkali jombaa!

 

[Edwin mkw]

Mi nna alege na hili somo aisee

Ha ha ha... Basi kama ndo hivyo engineering utakuwa unaisikia tu.

 

[petro faustine]

Naombeni mnisaidie derivation ya general formular ya sine ile inaosema (pie n + (-1)power n angle thiter

 

[kbmk]

Halaaa kumbe kuna watu wana aleji ya masomo fulan, walimu wana kazi kweli

 

[bahati30]

Nimependa unavokata nyanga yaani kitaalam bila blah blah. Very good!

This is not a sln to this eqn ruther it is a sln for sin2A + sin2B +sin2C=4sinAsinBsinC