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Show that (sin (180^(circ)+A) cos (90^(c...

Show that `(sin (180^(circ)+A) cos (90^(circ)-A) tan (270^(circ)+A))/(sec (540^(circ)-A) cos (360^(circ)+A))= -1 `

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sin (180^(circ)+A)=-sin A , cos (90^(circ)-A)=sin A , tan (270^(circ)+A)=-cot A.
.sec (540^(circ)-A)=-sec A , cos (360^(circ)+A)=cos A.
.L . H . S=(-sin A x sin A x-cot A)/(-sec A xx cos A)=(-sin A x sin A x-(cos A)/(sin A mid))/(gt-(1)/(cos A) xx cos A) mid=-sin A cos A.
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V PUBLICATION-TRIGNOMETRC FUNCTIONS-QUESTION BANK
  1. Solve the following equations 2 tan theta-cot theta=-1

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  2. If A+B=45^(circ), prove that (cot A-1)(cot B-1) = 2

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  3. Show that (sin (180^(circ)+A) cos (90^(circ)-A) tan (270^(circ)+A))/(s...

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  4. Prove that cos ^(4) (pi)/(8)+cos ^(4) (3 pi)/(8)+cos ^(4) (5 pi)/(8)+c...

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  5. Prove that (sin 3 x+sin x) sin x+(cos 3 x-cos x)cosx=0

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  6. If an arc of length l of a circle of radius r subtends an angle theta ...

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  7. A cow is tied to a post with a rope of 20 m long .If it moves along a ...

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  8. Three points A, B, C are marked in the stem of a coconut trees so that...

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  9. Prove that sin ^(2) A cos ^(2) B+cos ^(2) A sin ^(2) B+cos ^(2) A cos ...

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  10. Prove that sqrt((1+cosA)/(1-cos A))=cosecA+cot A

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  11. Prove that 2 sec ^(2) theta-2 cosec^2theta-sec ^(4) theta+cosec^4 thet...

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  12. Prove that (sec A-cosec A)(1+tan A+cot A)=tan A secA + cotA cosec A

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  13. If cos theta+sin theta=sqrt(2) cos theta,then show that cos theta-sin...

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  14. If tan ^(2) theta=1-k^(2), show that sec theta+tan ^(3) theta cosecthe...

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  15. If a cos theta+b sin theta=c, show that asin theta-bcos theta=pm sqrt(...

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  16. If T(n)=sin ^(n) theta+cos ^(n) theta. prove that (T(3)-T5)/(T1)=(T5-T...

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  17. Find the quadrant in which cos theta is negative and tantheta is posi...

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  18. Show that sec ^(2) theta+cosec^(2) theta geq 4

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  19. Prove that cos theta+sec theta can never be equal to (3)/(2)

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  20. If x be real, show that cos theta cannot be equal to x+(1)/(x).

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