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Using the identity tan A =(sin 2A)/(1+co...

Using the identity `tan A =(sin 2A)/(1+cos2A)` find the value of `tan 15^(@) and tan 75^(@)` and hence solve that the equation `sec^(2) theta= 4 tan theta`.

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The correct Answer is:
`2-sqrt(3) 2+ sqrt(3); n pi +(pi)/(12), n pi +(5pi)/(12)`
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CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
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  2. In triangle ABC , if C is a right prove that (sin^(2)A)/(sin^(2)B)-(co...

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

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

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

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

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

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  8. If a is the smallest side of a triangle and a,b,c are in A.P. prove th...

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  9. In a triangle ABC if b+c=3a then find the value of cot(B/2)cot(C/2)

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  10. If the medium AD is perpendicular to the side AB in the triangle ABC, ...

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  11. Show that the perimeter of any triangle is equal to 2 "cos" (A)/(2)...

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  12. If sin theta+cos theta=a,tan theta+cot theta=b, show that (a^(2)-1)/(2...

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  13. If the three side of a triangle be a, b, c and tan theta=(2 sqrt(ab))...

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  14. In the triangle ABC, if cos 3 A + cos 3B+ cos 3C=1, show that the tria...

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  15. Show that : tan 20^(@)+ tan 70^(@)= 2 "cosec" 40^(@)

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  16. Show that : "sin" 2(pi)/(7)+ "sin"(4pi)/(7)-"sin" (6pi)/(7) =4 "sin"...

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  17. Show that : tan 70^(@)=2 tan 40^(@)+ tan 20^(@)+ 4 tan 10^(@)

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  18. The length of hypotenuse and one side of a right -angle triangle are ...

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  19. If "cos" A=(3)/(4), show that 32 "sin" (A)/(2) "sin" (5A)/(2)=11

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  20. If cos A = tan B , cos B= tan C, cos C= tanA, show that sin A= sin B= ...

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