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

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  11. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ ...

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  12. If tan\ theta/2=cosectheta-sintheta, then- a.sin^2\ theta/2=2sin^2\ 18...

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  13. If cos(A-B)=3/5 and tan A tan B=2, then (a) cos Acos B=1/5 (b) sin A ...

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  14. Factors of cos4theta-cos4varphi are- a.(costheta+cosvarphi) b. \ (cos...

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  15. For the equation sin3theta+cos3theta=1-sin2theta (A) tantheta = 1 is...

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  18. "cosec" 10^(@) - sqrt(3) " sec" 10^(@) =

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  19. Evaluate 4\ cos\ 20^0\ -sqrt(3)\ cot\ 20^0\ =

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