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A N EXCEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
- Prove that tan70^@=tan20^@+2tan50^@
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- Prove that tan225^@ cot405^@+tan675^@ cot315^@=2
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- Prove that (sinA+sin3A+Sin5A)/(cosA+cos3A+cos5A)=tan3A
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- Prove that (cosA-cosB)^2+(sinA-sinB)^2=4sin^2((A-B)/2)
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- Prove that (sin(3A)/sinA)+(cos(3A)/cosA)=4cos2A
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- Prove that (tan5theta+tan3theta)/(tan5theta-tan3theta)=4cos2thetacos4t...
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- Prove that 1-8sin^2Acos^2A=cos4A
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- If 2costheta=x+(1/x) prove that 2cos3theta=x^3+(1/x^3)
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- If tantheta=b/a Show that acos2theta+bsin2theta=a
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- If tanA=1/3 and tanB=1/7 , show that 2A+B=45^@
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- Prove that sin^2(pi/8)+sin^2((3pi)/8)+sin^2((5pi)/8)+sin^2((7pi)/8)=2
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- Prove that (1+costheta+sintheta)/(1-costheta+sintheta)=cot(theta/2)
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- If tan(A/2)=x show that secA+tanA=(1+x)/(1-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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- Show that tan 15^@ = 2 - sqrt3
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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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