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First Year Math Solutions Of Trigonometric Equations


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Class 9Class 10First YearSecond Year
Q.18Ifonesolutionofcosx=1inx[02π]iszerothenotheris(a)π2(b)π(c)π(d)2πQ.18 If one solution of \cos x=1 in x \in[02 \pi] is zero then other is(a) \frac{\pi}{2} (b) \pi (c) -\pi (d) 2 \pi

2. Solve the following trigonometric equations:ii) \operatorname{cosec}^{2} \theta=\frac{4}{3}
2. Solve the following trigonometric equations:ii)  \operatorname{cosec}^{2} \theta=\frac{4}{3}

2.Solvethefollowingtrigonometricequations:ii)cosec2θ=432. Solve the following trigonometric equations:ii) \operatorname{cosec}^{2} \theta=\frac{4}{3}

7. 3 \cos ^{2} \theta-2 \sqrt{3} \sin \theta \cos \theta-3 \sin ^{2} \theta=0 [Hint: Divide by \sin ^{2} \theta ]
7.  3 \cos ^{2} \theta-2 \sqrt{3} \sin \theta \cos \theta-3 \sin ^{2} \theta=0 [Hint: Divide by  \sin ^{2} \theta  ]

7.3cos2θ23sinθcosθ3sin2θ=0[Hint:Dividebysin2θ]7. 3 \cos ^{2} \theta-2 \sqrt{3} \sin \theta \cos \theta-3 \sin ^{2} \theta=0 [Hint: Divide by \sin ^{2} \theta ]

Q.24 Solution of equation \tan x=\frac{1}{\sqrt{3}} is in:(a) I \& Il Lahore Board; 2015(b) I \& ll (c) 11 \& 1 \mathrm{~V} (d) I
Q.24 Solution of equation  \tan x=\frac{1}{\sqrt{3}}  is in:(a) I \& Il  Lahore Board; 2015(b) I \& ll (c)  11 \& 1 \mathrm{~V}  (d) I

Q.24Solutionofequationtanx=13isin:(a)I&IlLahoreBoard;2015(b)I&ll(c)11&1 V(d)IQ.24 Solution of equation \tan x=\frac{1}{\sqrt{3}} is in:(a) I \& Il Lahore Board; 2015(b) I \& ll (c) 11 \& 1 \mathrm{~V} (d) I

6. 2 \sin ^{2} \theta-\sin \theta=0
6.  2 \sin ^{2} \theta-\sin \theta=0

6.2sin2θsinθ=06. 2 \sin ^{2} \theta-\sin \theta=0

4. \tan ^{2} \theta-\sec \theta-1=0
4.  \tan ^{2} \theta-\sec \theta-1=0

4.tan2θsecθ1=04. \tan ^{2} \theta-\sec \theta-1=0

Q.6 Solution of 1+\cos x=0 is :(a) \frac{\pi}{2} (b) \pi (c) 2 \pi (d) none of theseGujranwala Board 2013; Lahore Board 2015; 2005
Q.6 Solution of  1+\cos x=0  is :(a)  \frac{\pi}{2} (b)  \pi (c)  2 \pi (d) none of theseGujranwala Board 2013; Lahore Board 2015; 2005

Q.6Solutionof1+cosx=0is:(a)π2(b)π(c)2π(d)noneoftheseGujranwalaBoard2013;LahoreBoard2015;2005Q.6 Solution of 1+\cos x=0 is :(a) \frac{\pi}{2} (b) \pi (c) 2 \pi (d) none of theseGujranwala Board 2013; Lahore Board 2015; 2005

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