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V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
- Prove that (i) 2 cos x cos y=cos (x+y)+cos (x-y) (ii) -2 . sin x s...
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- Find the value of sin 15^@ .
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- Find :the value of 'tan(13pi /12) '.
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- Prove that '(sin (x+y))/(sin (x-y))=(tan x+tan y)/(tan x- ( tany ))'
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- Show that tan '3 x tan 2 x tan x=tan 3 x-tan 2 x-tan x'
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- Prove that cos (pi/4+x)+cos (pi/4- x) = sqrt(2)cos x
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- Prove that (cos 7 x+cos 5 x)/(sin 7 x-sin 5 x)=cot x
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- Prove that (sin 5 x-2 sin 3 x+sin x)/(cos 5 x-cos x)=tan x
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- Prove that sin^2(pi/6)+cos^2(pi/3)-tan^2(pi/4)=-1/2
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- Prove that 2sin^2(pi/6)+cosec^2((7pi)/6)cos^2(pi/3)=3/2
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- Prove that cot^2(pi/6)+cosec((5pi)/6)+3tan^2(pi/6)=6
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- Prove that 2sin^2((3pi)/4)+2cos^2(pi/4)+2sec^2(pi/3)=10
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- Find the value of sin 75^@
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- Find the value of the following: tan 15^@
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- Prove that cos(pi/4-x)cos(pi/4-y)-sin(pi/4-x)sin(pi/4-y)=sin(x+y)
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- prove that (tan(pi/4+x))/(tan(pi/4-x))=((1+tanx)/(1-tanx))^2
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- Prove that (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2+x)=cot^2x
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- Prove that cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x)]=1
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- Prove that sin(n+1)xsin(n+2)x+cos(n+1)xcos(n+2)x=cosx
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- Prove that cos((3pi)/4+x)-cos((3pi)/4-x)=-sqrt2 sinx
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