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Prove that: (cos(pi+A)cos(-A))/(sin(pi...

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

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NAGEEN PRAKASHAN-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: sinpi/7+sin(2pi)/(7) + sin(8pi)/7 + sin(9pi)/7=0

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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 equilibrium ABCD, prove thatL: i) sin(A+B)+sin(C+D)=0 ii) cos(A...

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  18. Find the value of x: i) xcot(90^(@)+theta)+tan(90^(@)+theta)sintheta...

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