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If cos 2 A sin 2 B= cos 2 C sin 2D, prov...

If `cos 2 A sin 2 B= cos 2 C sin 2D`, prove that `tan (C+A) tan (C-A) tan (B+D)= tan (D-B)`

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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If sec alpha and "cosec" alpha are the roots of x^(2)- px+q=0 then sh...

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  2. If cot^(2) theta= cot (theta-alpha) cot( theta- beta), prove that cot...

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  3. If cos 2 A sin 2 B= cos 2 C sin 2D, prove that tan (C+A) tan (C-A) tan...

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  4. If sin(y+z-x), sin (z+x-y) and sin (x+y-z) are in A.P., show that tan ...

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  5. If cos beta cos (gamma- alpha)= cos (alpha- beta+ gamma), prove that c...

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  6. If tan^(2) alpha+ 2tan alpha tan 2 beta= tan^(2) beta+ 2 tan beta tan ...

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  7. If "cosec" 2A+ "cosec"2B+"cosec"2C=0, prove that tan A+ tan B+ tan C+ ...

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  8. Let f(x-1)=5x -3.then find f^-1(x)

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  9. If (tan (alpha- beta+ gamma))/(tan (alpha+ beta- gamma))=(tan beta)/( ...

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  10. If 0 lt alpha lt (pi)/(2), (pi)/(2) lt beta lt pi and cos alpha =(4)/(...

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  11. If alpha and beta be two roots of the equation a cos theta+ b sin thet...

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  12. If -360^(@) lt A lt -270^(@), show that "sin"(A)/(2)=- sqrt((1-cosA)/...

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  13. If 2 sin A= sqrt(1+ sin 2A)- sqrt(1-sin2A) then find the limits of val...

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  14. Prove that : tan 11^(@) 15' = sqrt(4+2sqrt(2))-sqrt(2)-1

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  15. In triangle ABC , if C is a right prove that (sin^(2)A)/(sin^(2)B)-(co...

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  16. Using the identity tan A =(sin 2A)/(1+cos2A) find the value of tan 15^...

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  17. Prove that the lengths of the chord of a circle which subtends an angl...

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  18. In any triangle ABC "if" (b+c)/(a)="cot"(A)/(2), prove that the triang...

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  19. If the angles of a triangle be, A,B,C and cos theta (sin B+ sin C) = s...

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  20. If the sides a,b,c of a triangle ABC are in A.P., prove that cosA "cot...

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