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t θ, τ, α, β S(, 0 P sin(θ P θ S x cos(θ SP = θ P (cos(θ, sin(θ sin(θ P t tan(θ θ 0 cos(θ tan(θ = sin(θ cos(θ ( 0t tan(θ

S θ > 0 θ < 0 ( P S(, 0 θ > 0 ( 60 θ < 0 ( 300 P ( ( P θ ± n (n : cos(θ + = cos(θ, sin(θ + = sin(θ θ ( θ 3

B(0, C(, 0 A(, 0 x D(0, A,B,C,D ( θ = 0,,, 3 D θ = ( ( cos A, C (cos(0, sin(0 = A (, 0 ( ( ( B= cos, sin (0, (cos(, sin( = C (, 0 ( ( ( 3 3 D= cos, sin (0,, sin ( D= (0, tan(0 = tan( = 0 B, D ( ( 3 tan, tan ( ( 3 cos = cos = 0 4

( ; cos (θ + sin (θ = + tan (θ = cos (θ ( cos (θ {cos(θ} cos (θ cos(θ =c, sin(θ =s s P(c, s c θ θ c x Q( c, s s R(c, s. (cos( θ, sin( θ R = (cos(θ, sin(θ tan( θ = sin(θ cos(θ = tan(θ. (cos(θ +, sin(θ + Q = ( cos(θ, sin(θ 5

tan(θ + = sin(θ cos(θ = tan(θ Q( s, c s c P(c, s s θ c x R(s, c ( 3. (cos θ + (, sin θ + Q= ( sin(θ, cos(θ ( ( 4. cos θ (, sin θ R= (sin(θ, cos(θ ( tan θ + ( = tan θ = tan(θ ; R(θ = cos(θ sin(θ sin(θ θ cos(θ 5 θ = 0 R(0 = cos(0 sin(0 sin(0 = 0 = E cos(0 0 θ = ( R = ( cos ( sin ( sin ( cos = 0 0 6

θ = R( = cos ( sin ( sin ( = 0 = E cos ( 0 θ = ( R = ( cos ( sin ( sin ( cos = 0 ( = R 0 R(θR(τ =R(τR(θ =R(θ + τ θ θ R( θ = cos( θ sin( θ R(θ sin( θ = cos(θ cos( θ sin(θ sin(θ cos(θ R(θR( θ =R( θr(θ =R(θ θ =R(0 = E R( θ = {R(θ} v = cos(θ 4 sin(θ R( v = 0 cos(θ = cos(θ 0 sin(θ sin(θ. 7

( R v = 3. 0 cos(θ = sin(θ 0 sin(θ cos(θ ( R 0 v = cos(θ = sin(θ 0 sin(θ cos(θ 4. cos(β R(α sin(β R(α cos(β = cos(α sin(β sin(α sin(α cos(β = cos(α cos(β sin(α sin(β cos(α sin(β sin(α cos(β + cos(α sin(β R(α cos(β = cos (α + β sin(β sin (α + β cos (α + β = cos(α cos(β sin(α sin(β sin (α + β = sin(α cos(β + cos(α sin(β tan(α + β = sin(α cos(β + cos(α sin(β cos(α cos(β sin(α sin(β = tan(α + tan(β tan(α tan(β 8

3 (60 cos ( A + 90 = sin( A x (60 = 360 = 80 ( = 57.30 r θ ; l = rθ ; S = r θ = lr = 80 ( 80 = ex. (i 45 = 45 80 = 4 (ii 0 = 0 80 = 3 9

(iii 3 4 = 3 80 4 = 35 (iv 5 = 80 5 = 36 [ ] A v v A t S x S (, 0 t A SA= t, SA= t A (cos(t, sin(t v v A ( v v = ( v x, v 3. = ( sin(t, cos(t (3. p.6 A (cos(t, sin(t ( sin(t, cos(t 4 0

x ( P ( x sin(θ θ P sin(θ θ x θ θ x + = = sin(θ. sin(θ + = sin(θ sin(θ + = sin(θ 3 θ = sin(θ P

3 θ = cos(θ ( 3. sin θ + = cos(θ ( ( sin θ = cos(θ = cos(θ = sin(θ θ 3 θ = sin(θ; = cos(θ; < θ <. tan(θ + = tan(θ

3 θ 3. (60 360. ( 3. 400( 3. 00 = 0 3

[ ] = sin(θ 3 θ = cos(θ 3 θ 3 sin(θ + = sin(θ cos(θ + = cos(θ tan(θ + = tan(θ θ = tan(θ [ ] x f(x f( x = f(x ; ; 4

k f(x = x k f(x = x k+ θ cos( θ = cos(θ ; sin( θ = sin(θ, tan( θ = tan(θ ; B A A θ θ B = cos(θ = sin(θ cos( θ = cos(θ A; (θ, cos(θ B; ( θ, cos(θ sin( θ = sin(θ A; (θ, sin(θ B; ( θ, sin(θ 5 ( ( 8 cos (α + β = cos(α cos(β sin(α sin(β sin (α + β = sin(α cos(β + cos(α sin(β 5

tan(α + β = tan(α + tan(β tan(α tan(β β α cos (α = cos (α sin (α sin (α = sin(α cos(α tan(α = sin (α + cos (α = tan(α tan (α cos (α = cos (α sin (α = cos (α = sin (α cos (α = + cos(α, sin (α = cos(α tan (α = cos(α + cos(α β β α + β α β cos (α β = cos (α + ( β = cos(α cos( β sin(α sin( β = cos(α cos(β + sin(α sin(β cos (α β = cos(α cos(β + sin(α sin(β sin (α β = sin(α cos(β cos(α sin(β tan(α β = tan(α tan(β + tan(α tan(β cos (α + β = cos(α cos(β sin(α sin(β cos (α β = cos(α cos(β + sin(α sin(β 6

cos (α + β + cos (α β = cos(α cos(β cos (α + β cos (α β = sin(α sin(β cos(α cos(β = {cos (α + β + cos (α β} sin(α sin(β = {cos (α + β cos (α β} sin (α + β = sin(α cos(β + cos(α sin(β sin (α β = sin(α cos(β cos(α sin(β sin (α + β + sin (α β = sin(α cos(β 3 sin(α cos(β = {sin (α + β + sin (α β} 3 cos (α + β + cos (α β = cos(α cos(β cos (α + β cos (α β = sin(α sin(β sin (α + β + sin (α β = sin(α cos(β α + β = θ, α β = τ α = θ + τ, β = θ τ ( ( θ + τ θ τ cos (θ + cos (τ = cos cos ( ( θ + τ θ τ cos (θ cos (τ = sin sin ( ( θ + τ θ τ sin (θ + sin (τ = sin cos 7

τ τ sin (θ + sin ( τ = ( θ τ sin ( θ + τ cos sin ( τ = sin (τ 4 ( ( θ + τ θ τ sin (θ sin (τ = cos sin C sin (α + S cos (α = C + S { C sin (α + S cos (α = C + S sin(α + β sin(β = S C + S, cos(β = C S sin (α + C + S C C + S } C + S cos (α tan(β = S C 6 sin(t P t S x cos(t SP = t P x = cos(t, = sin(t 8

{cos(t} cos(t + t cos(t = lim t 0 t {sin(t} sin(t + t sin(t = lim t 0 t x = lim t 0 t = lim t 0 t x, t t + t ( t + t x = cos(t + t cos(t = sin + t ( t + t sin ( = sin t + t ( t sin = sin(t + t sin(t = ( = cos t + t ( t sin u = t x t t = cos(t + t cos(t t = sin(t + t sin(t t ( t + t cos + t ( t + t sin t t t 0 u 0 sin( u u ( u 0 = sin(t + u sin( u u = cos (t + u sin( u u {cos(t} = sin(t, {sin(t} = cos(t sin(t ( u 0 cos(t ( u 0 ( ( { x + = sin(t + u sin( u } { + cos (t + u sin( u t t u u = { sin (t + u + cos (t + u } { } sin( u u { } sin( u = ( u 0 u } 9

( ( dx d + = { sin(t} + {cos(t} = dt dt ( ( ( ( x dx d + + ( t 0 t t dt dt sin(x = x x3 6 + x5 (8 0 x sin(x x ex. ( ( dx d 3 + = dt dt = sin(x = cos(x = sin(x {sin(x} = cos(x ( sin 80 x 80 = 360 ( = sin 80 x = ( 80 cos 80 x 0

{sin(x} = cos (x 7 x = sin( = sin (x x, sin ( Y r Y P r ( r x = Y ( r < Y < r 3 P ( I IV sin ( Y r = xp, sin ( Y r

cos (x x = cos( = cos (x x, 0 sin (x + cos (x = cos (x = sin (x x > 0 x = cos (x = sin (x x 0 sin (x, cos (x x = tan( = tan (x < x <, < < tan ( Y X

Y P x = X = Y s θ X x 3 P tan ( Y X = xp < tan ( Y X < = sin (x, = cos (x = x = sin (x x = cos (x x = tan (x = x 3

4 = tan (x x 4 8 (! x a + b x cos(t a = (x 0, 0 = (a cos(t, b sin(t + sin(t b = xx 0 a + 0 b = 4

Asteroid; x 3 + 3 = a 3 ( a cos 3 (t, a sin 3 (t x a cos(t + a sin(t = a 4 = a (a > 0 4x = ( a 4, a + a = tan(θ (x a 4 θ tan(θ = a a F(, 0 sin(x = x x3 6 + x5 0 cos(x = x + x4 4 + sin(x = cos(x = k=0 ( k x k+ (k +! ( k k=0 x k (k! 5

sin(x = ( 0 x! + ( x3 3! + ( x5 5! + cos(x = ( 0 x0 0! + ( x! + ( x4 4! + k! k 0! =, ( 0 = x 0 = < x < sin(x cos(x sin(x = x x3 3! + x5 5! + [ ] x! + cos(x = x! + x4 4! + + [ ] x! + [ ] + ( ( x n x n Casio 0 = x 0 6

ex. x = cos(x = 0.96595863 6 + ( 4 S D x! + x4 4! x6 6! = 0.96595857 0 ex. x = 4 0 cos(x x! + x4 4! x6 6! ex.3 x = 96 cos(x x! + x4 4! cos(x = 0.9994645875 x! = 0.9994645397 0 ex.4 x = 3 cos(x = 0.5 x! + x4 4! x6 6! = 0.4999645653 4, 5, x! + x4 4! x6 6! + x8 8! x0 0! + x! x = 0.5 7

cos(x = cos (x ( ( ex.5 cos = cos 6 ( ( cos = cos 3 6 3 c =ex. c = c c 3 = c = 0.499999997 ( ( c 3 = cos = 0.5 3 0 x = 96 c = x! + x4 4! c = c, c 3 = c, c 4 = c 3, c 5 = c 4 c 5 = 0.500000004 ( c = cos 96 c 5 = 0.5 ex.3 ex. cos 8

9 sin(θ θ cos(θ tan(θ θ (cos(0, sin(0 = (, 0 tan(0 = 0 ( ( ( ( cos, sin = (0, tan ; (cos(, sin( = (, 0 tan( = 0 ( ( cos (, sin ( = (0, tan ; ( ( ( cos, sin 6 6 ( ( ( cos, sin 4 4 ( ( ( cos, sin 3 3 ( 3 =, = = (, (, 3 ( tan 6 ( tan 4 ( tan 3 = 3 = = 3 cos (θ + sin (θ = + tan (θ = cos (θ. (cos( θ, sin( θ = (cos(θ, sin(θ. (cos(θ +, sin(θ + = ( cos(θ, sin(θ tan( θ = tan(θ, tan(θ + = tan(θ 9

( 3. (cos θ + (, sin θ + = ( sin(θ, cos(θ ( ( 4. cos θ (, sin θ = (sin(θ, cos(θ ( tan θ + ( = tan θ = tan(θ cos (α ± β = cos(α cos(β sin(α sin(β, ( tan(α ± β = sin (α ± β = sin(α cos(β ± cos(α sin(β tan(α ± tan(β tan(α tan(β cos (α = cos (α sin (α = cos (α = sin (α sin (α = sin(α cos(α, tan(α = tan(α tan (α cos (α = + cos(α, sin (α = cos(α tan (α = cos(α + cos(α cos(α cos(β = {cos (α + β + cos (α β} sin(α sin(β = {cos (α + β cos (α β} sin(α cos(β = {sin (α + β + sin (α β} α + β = θ, α β = τ α = θ + τ, β = θ τ cos (θ + cos (τ = ( θ + τ cos ( θ + τ cos (θ cos (τ = sin ( θ τ cos sin ( θ τ 30

sin (θ + sin (τ = sin (θ sin (τ = ( θ + τ sin ( θ + τ cos ( θ τ cos sin ( θ τ C sin (α + S cos (α = C + S sin(α + β tan(β = S C = 360 = 80 = 57.30 r θ ; l = rθ ; S = r θ = lr r r sin(θ θ r cos(θ a sin(a = R (R ; a = b cos(c + c cos(b a = b + c bc cos(a 3

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