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Given both thetaa n dvarphi are acute an...

Given both `thetaa n dvarphi` are acute angles and `sinalphabetagamma=1/2,cosvarphi=1/3,` then the value of `theta+varphi` belongs to `(pi/3,pi/2)` (b) `(pi/2,(2pi)/3)` (c) `((2pi)/3,(5pi)/6)` (d) `((5pi)/6,pi)`

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Given both thetaa n dphi are acute angles and sintheta=1/2,cosvarphi=1/3, then the value of theta+varphi belongs to (a) (pi/3,pi/2] (b) (pi/2,(2pi)/3] (c) ((2pi)/3,(5pi)/6] (d) ((5pi)/6,pi]

For 0 cos^(-1)(sintheta) is true when theta belongs to (a) (pi/4,pi) (b) (pi,(3pi)/2) (c) (pi/4,(3pi)/4) (d) ((3pi)/4,2pi)

If tantheta=1/2a n dt a nvarphi=1/3, then the value of theta+varphi is pi/6 (b) pi (c) 0 (d) pi/4

If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, then theta belongs to (pi/6,(5pi)/6) (b) (0,pi/6)uu((5pi)/6,pi) ((13pi)/6,(17pi)/6) (d) (0,pi)

If sintheta=1/2a n dcostheta=-(sqrt(3))/2, then the general value of theta is (n in Z)dot (a) 2npi+(5pi)/6 (b) 2npi+pi/6 (c)2npi+(7pi)/6 (d) 2npi+pi/4

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4

If theta=sin^(-1){sin (-600^(o) ) } , then one of the possible values of theta is pi/3 (b) pi/2 (c) (2pi)/3 (d) (-2pi)/3

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) (0,pi/6) (b) (pi/9,pi/6) (c) (pi/12,pi/9) (d) (pi/3,pi/2)

If sintheta= - 1/2 and tan theta = 1/sqrt(3) then the most general values of theta equal to (A) 2npi+pi/6 (B) 2npi=(5pi)/6 (C) 2npi+(7pi)/6 (D) none of these

cos^-1 {-sin((5pi)/6)}= (A) - (5pi)/6 (B) (5pi)/6 (C) (2pi)/3 (D) -(2pi)/3

ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
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  2. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

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  3. Let alpha and beta be such that pi<alpha-beta<3pi, If sinalpha+sinbeta...

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  4. If 0ltxltpi and cosx +sinx = 1/2 then tan x is (A) (-(4+sqrt(7))/3) (B...

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  5. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

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  6. If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...

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  7. In a Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

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  8. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

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  9. ABCD is a trapezium such that A B||C Da n dC B is perpendicular to the...

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  10. Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...

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  11. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

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  12. If A >0,\ B >0\ a n d\ A+B=\ pi/6 , then the minimum value of t a n A+...

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  13. If alpha+beta=pi/2\ a n d\ beta+gamma=alpha, then t a nalpha, equals- ...

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  14. Given both thetaa n dvarphi are acute angles and sinalphabetagamma=1/2...

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  15. In an equilateral triangle, three coins of radii 1 unit each are kept ...

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  16. t1 = (sintheta)^costheta ,t2 = (sintheta)^sintheta , t3 = (costheta)^c...

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  17. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

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  18. For 0ltthetalt pi/2 the solutions(s) of sum(m=1)^6 cosec (theta+ ((m-1...

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  19. Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...

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  20. Let P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+co...

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