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Prove that: (cos40^(@)+cos50^(@))/(sin...

Prove that:
`(cos40^(@)+cos50^(@))/(sin40^(@)+sin50^(@))=1`

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Prove that: i) sin40^(@)cos50^(@)+cos40^(@)sin50^(@)=1 ii) cot(270^(@)-theta)cot(270^(@)+theta)(cot(540^(@)-theta)cot(540^(@)+theta)=1 iii) cospi/8+cos(3pi)/8+cos(5pi)/8+cos(7pi)/8=0

Prove that: i) sin20^(@)sin40^(@)sin60^(@)sin80^(@)=3/16 ii) sin10^(@)sin50^(@)sin60^(@)sin70^(@)=sqrt(3)/16 iii) sin20^(@)sin40^(@)sin80^(@)=sqrt(3)/8

Prove that: cos20^(@)cos40^(@)cos80^(@)=1/8

Prove that: i) cos10^(@)cos30^(@)cos50^(@)cos70^(@)=3/16 ii) cos20^(@)cos40^(@)cos60^(@)cos80^(@)=1/16 iii) 4cos12^(@)cos48^(@)cos72^(@)=cos36^(@) iv) cos40^(@) cos80^(@)cos160^(@)=-1/8

Prove that sin10^(@) sin 30^(@) sin 50^(@) sin 70^(@)=1/16

Prove that : sin 10^(@) + sin 20^(@) + sin 40^(@) + sin 50^(@) = sin 70^(@) + sin 80^(@).

Prove that : sin60^(@)cos30^(@)+cos60^(@).sin30^(@)=1

Prove that (sin20^(@) + sin40^(@)) + (cos20^(@) + cos40^(@))=(sqrt(3)+1)cos10^(@)

Prove that cos 20^(@) cos 40^(@) cos 80^(@) = (1)/(8).

Evaluate cos 40 ^(@) cosec 50 ^(@)+ sin 50 ^(@) sec 40 ^(@)

NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3C
  1. If sinA=-3/5 and A lies in third quadrant, find the remaining trignome...

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  2. If cosA=5/13 and A lies in fourth quadrant, find the remaining trigno...

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  3. If tanA=-12/5 and A lies in second quadrant, find the remaining trigno...

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  4. If cotA=4/3 and A lies in third quadrant, find the remaining trignomet...

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  5. If secA=-17/8 and A lies in second quadrant, find the remaining trigno...

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  6. If "cosec"A=5/4 and A lies in first quadrant, find the remaining trign...

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  7. If "cosec"A=-sqrt(2) and (3pi)/(2) lt A lt 2pi, find the value of (tan...

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  8. If secA=-2 and A lies in third quadrant, find the value of (4 cot^(2)A...

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  9. Prove that: sqrt((1+cosA)/(1-cosA))={:("cosec"A+cotA, if 0ltAltpi),(...

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  10. Evaluate the following: i) tan135^(@) ii) sec150^(@) iii) cot240...

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  11. Prove that: tan10^(@) tan20^(@)tan70^(@)tan80^(@)=1

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  12. Prove that: (cos40^(@)+cos50^(@))/(sin40^(@)+sin50^(@))=1

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  13. Prove that: "cosec"(270^(@)-A)"cosec"(270^(@)+A)+cot(270^(@)-A)cot(2...

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  14. Prove that: sin ((pi)/(7))+sin((2pi)/(7)) + sin((8pi)/(7)) + sin((9p...

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  15. Evaluate the following: i) cos120^(@)sin390^(@)+cos330^(@)cos150^(@)...

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  16. Prove that: (cos(pi+A)cos(-A))/(sin(pi-A).cos(pi/2+A))=cot^(2)A

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  17. In any quadrilateral ABCD, prove that: i) sin(A+B)+sin(C+D)=0 ii) ...

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  18. Find the value of x: "cosec"(90^(@)+theta)+x costhetacot(90^(@)+theta)...

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