am trigo ex 12.2 q3a)c)e) q4a)c)e)g)

8/6/2019 AM Trigo Ex 12.2 Q3a)c)e) Q4a)c)e)g)

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o 3. Solve the following equations.(a) sin x = sin x tan x, 0 ::'S X ::'S 360(b) 4 sin x cos x - 3 sin x = 0, 0 < x < 2It(c) tan x + 5 tan x sin x =0, 0 < x < 360(d) 3 sirr' x + sin x cos x = 0, 0 ::'S X ::'S 2It(e) 7 sirr' x + sin/ x =0, 0 < x < 360(D 2 cos x - 3 cos x sin' x =0, 0 < x < It4. Solve the following equations.(a) 2 tan' x - 3 tan x - 2 =0, 0 < x < 360(b) 6 cos' X - 5 cos x-I =0, 0 < x < 360(c) 2 cosec' x =7 cosec x + 4, 0 ::'S X ::'S 2It(d) 2 sin x cos x = cot x, 0 < x < It(e) 6 - 2 cos" X = 9 sin x, 0 ::'S X ::'S 360(D 7 cos x - 3 = --22 - ,0 ::'S x ::'S 360sec x(g) 2 tan x =3 + 2 cot x, 0 ::'S x ::'S 360(h) 2 tarr' x-I = 5 sec x, 0 ::'S X ::'S 2Ito 5. Find all the angles between 0 and 360 which satisfy the following equations.

1(a) cos 2x =0.5 (b) tan (x - 60) = f3(c) 3 sin 2x + 2 = 0 (d) cos (2x - 40) = 0.8(e) cot (2x + 10) =-0.5 (D cosec (2x + 60) =4

6. Find all the angles between 0 and 2It which satisfy the following equations.(a) 10 sin 2x = 3 (b) cot 2x = -2(c) tan ( ~ ) = (d) 4 sec 2x + 5 = 0(e) 8 cos (2x + 1) = 3 (D cot (3x + 0.5) = 3(g) sin e; + i)= (h) 3 cosec (2x - 3) + 15 = 1

7. Find all the angles between 0 and 360 which satisfy the equation(a) tan (2x - 60) = -1, (b) 2 sin y = tan y, (c) sec" z =4 sec z - 3.8. Find the values of x, where 0 < x < 180, such that(a) 2 cos' x + sin 20 = I , (b) sin (3x + 70) =0.2,(c) 8 cosec 2x cot 2x = 3, (d) 12 cos x + 3 sin xl = sin x.

9. Factorise the expression 2 sin x cos x - cos x + 4 sin x - 2. Hence, solve theequation 2 sin x cos x - 2 =cos x - 4 sin x for -360 ::'S x ::'S 360.If f) is obtuse and 2 tan" f) =5 sec f) + 10, find the value of tan f) without using acalculator.

AM Ex 12.2


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am trigo ex 12.2 q3a)c)e) q4a)c)e)g)

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