Page 95 - Math Grade 11 (Basic)

PROEUS DARA

1.3 ArulS'l tan(a+~)Biltan(a-~)

t?i'i:fl8 tan(a+~) = sin~a+~~ ti:flt1H~tliti'H8 (2) Stl (3) '1
cos a+ · C u "
t?iQl8 tan(a+~) = sinacos~+si.nf)c~sa 2ti'i:f!Gl cosar'O, cosf).,O,cos(a+~)¢0
cosacosf)- smasmf3
(:./ 0 C» ~ ~ c::o
t?i tBn~mb t1 HSG ruwJti2tl cos a cos f3

sinacosf3 + sinf)cosa
l:?iQlS tan( a+ f3) = _co_s_a_c_o_s':::-f3_c-:co_s_cx.-,co:--s f3 ~ tan (a + f3) = tan a + tan f3 (5)
7
cos a cos f3 sin a sin~ I- tan a tan f)
cos a cos f3 cos a cos f3
tan 105o = tan(60o + 45o) = tan60o + tan45o J3+1 = J3+1 '1
1- tan60°tan45° I-J3xl I-J3

dh?id8M f) l:l':llf15 (-f3) ntliti138 tan((J..+f3) l:t1Ql8 tan[a+(-f))] = tana+tan(-f3)
u 1 u " l-tanatan(-[3)

R) _ tana tan~
t an ( a- ,., - -:----~ (6)
1
1 + tanatanf3

tan~ - tan~ I - J3 3 - J3
tan I~ = tanG ~) = 4 Jt 6Jt = __ 3_ = -3 _+3_).3_3 = 2 J3 '1
l+tan tan l+lx
4 6 3 3
0 • 0
rutrrH'i ?1 ~ 1

n. ?ir:J.JlSl tan(a f3)

n. tan(a-f3) = tal1(J..-tanf3 = 2-(-3) = 2 = -1 '1
1 + tan a tan f3 1 + 2( -3) -5

3Jt
tan(a-f3) = -1 =;. a-f3=4

0 • 0 tan38- tan8 t(Jt ?o)
rumu1 ?1 ~ 2 -:----:::-----:::-::: + co - + - u
IB I + tan fl tan 3 8 2
tan38- tan8 "']., (Jt )
tt'i'i:fl8 ) = tan(38- 8) = tan28 8w cot - + 28 = -tan28
1 + tan8tan t 2
3
tan38- tan8 (Jt )
1 + tanEltan 38 +cot 2 + 28 = tan28 tan28 = 0 '1
""
t'ir:J.JlSl tan(a+b+c) tl':llf151:'itiiti'H8 tan(a+f3)
c u "

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