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PREMIERS PUBLISHERS-TRIGONOMETRY-PROBLEMS FOR PRACTICE
- Show that cos^2 15^@ +cos^2 45^@ +cos^2 75^o =3/2.
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- Find sin15^@ ,cos15^@ ,tan15^@,hence evaluate cot75^@ +tan75^@ .
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- If in a triangleABC show that : (i) tanA+tanB+tanC =tanAtanBtanC.
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- If A + B + C = 180^(@), prove that tan ""(A)/(2) tan ""(B)/(2) + tan...
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- If tan(theta/2)=2-sqrt3,find the value of sintheta.
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- If tanalpha=1/3,tanbeta=1/7,show that 2alpha +beta=pi/4
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- Show that sin20^o sin40^o sin60^o sin80^o =3/16
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- Solve: 2 tan theta-cot theta=-1
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- Solve:sin2x +sin6x -sin4x=0.
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- Solve sinx-cosx +sqrt2=0.
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- Show that [suma^2 sin(B-C)]/sinA = 0
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- Show that suma^3 sin(B-C) =0
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- If acosA=bcosBthen show that the triangle is either an isosceles trian...
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- Show that sin^-1 x+cos^-1 x=pi/2.
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- Evaluate sin(cos^(-1)((3)/(5)))
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- Evaluate (ii)cos^-1 [-(1/sqrt2)].
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- If tan^2 (45 +theta/2)=a/b.Show that sintheta =(a-b)/(a+b)
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- cotB-cotA=b ,tanA-tanB=a,findcot(A-B).
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- Show that (b+c)cosA +(c+a)cosB +(a+b)cosC =a+b+c
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- Prove sin(180-theta)=sintheta
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