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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
- If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...
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- If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...
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- Let alpha and beta be such that pi<alpha-beta<3pi, If sinalpha+sinbeta...
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- If 0ltxltpi and cosx +sinx = 1/2 then tan x is (A) (-(4+sqrt(7))/3) (B...
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- Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...
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- If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...
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- 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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- The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as
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- ABCD is a trapezium such that A B||C Da n dC B is perpendicular to the...
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- Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...
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- If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...
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- 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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- If alpha+beta=pi/2\ a n d\ beta+gamma=alpha, then t a nalpha, equals- ...
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- Given both thetaa n dvarphi are acute angles and sinalphabetagamma=1/2...
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- In an equilateral triangle, three coins of radii 1 unit each are kept ...
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- t1 = (sintheta)^costheta ,t2 = (sintheta)^sintheta , t3 = (costheta)^c...
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- 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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- For 0ltthetalt pi/2 the solutions(s) of sum(m=1)^6 cosec (theta+ ((m-1...
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- Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...
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- Let P={theta:sintheta-costheta=sqrt2costheta}and Q={theta: sintheta+co...
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