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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
- If alpha+beta+gamma=pi, prove that : cos^2 alpha + cos^2 beta + cos^2 ...
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- In a DeltaABC, if cot A+cot B+cot C=sqrt3. Prove that the triangle is ...
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- If the product (sin1^0)(sin3^0)(sin5^0)(sin7^0)....(sin 89^0)=1/(2^n) ...
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- For 0ltthetalt pi/2 the solutions(s) of sum(m=1)^6 cosec (theta+ ((m-1...
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- If (1+sint)(1+cot t)=(5)/(4) then find the value of (1-sint)(1-cos t).
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- tan^(2)'(pi)/(16)+tan^(2)'(2pi)/(16)+tan^(2)'(3pi)/(16)+tan^(2)'(5pi)/...
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- Let x1=prod(r=1)^5cos(rpi)/(11)\ a n d\ x2=sum(r=1)^2cos(rpi)/(11), th...
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- The period of the function f(x)=sin^(4)x+cos^(4)x is:
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- If y=sec^2theta+cos^2theta,\ theta!=0, then- a.y=0 b. ylt=2 c. ygeq-2 ...
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- The value of (1-tan^215^0)/(1+tan^215^0)= (A) 1 (B) sqrt(3) (C) sqrt(3...
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- If alpha is a root of 25 cos^2theta+5costheta-12=0, pi/2 < alpha < pi,...
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- If sin(alpha+beta)=1, sin(alpha-beta)=1/2 then, tan(alpha+2beta) tan(2...
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- If tantheta=-4/3,t h e nsintheta is -4/5b u tnot4/5 (b) -4/5or4/5 ...
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- 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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