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Prove that tan(pi//4+theta)-tan(pi//4-th...

Prove that `tan(pi//4+theta)-tan(pi//4-theta)=2tan2theta`

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tan(pi/4 + theta) + tan(pi/4-theta)=4

Prove that, tan (pi/4 + theta) + tan (pi/4 - theta) = 2 sec 2 theta

Prove that, tan theta tan (pi/3 + theta)tan (pi/3 - theta) = tan 3 theta

Prove the following identities: tan theta tan(pi/3 + theta) tan(pi/3 - theta) = tan 3 theta

Prove that sec(pi/4+theta)sec(pi/4-theta)=2 sec 2theta

Prove that: (cos2theta)/(1+sin2theta)=tan(pi/4-theta)

Prove that: (costheta)/(1+sintheta)=tan(pi/4-theta/2)

If sin(theta+alpha)/(cos(theta-alpha))=(1-m)/(1+m) Prove that tan(pi/4-theta)tan(pi/4-alpha)=m .

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 9-EXERCISE
  1. If the number of elements of set A are n, then show that the number of...

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  2. If R is a defined relation of A = {0. 1. 2. 3. 4. 5} such that R = {(x...

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  3. Prove that tan(pi//4+theta)-tan(pi//4-theta)=2tan2theta

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  4. Three sides of a triangle are. 3 cm, 5 cm, 7 cm. Find the value of its...

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  5. If |(Z-5i)/(Z+5i)|=1,then show that Z in R

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  6. In a plane, if n number.of parallel lines intersect the P numbers of p...

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  7. In the expansion of (3x^2-1/x^3)^10:find the 7th term.

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  8. If the sum of 1st n term of an AP is n(3n + 5), find its 10th term

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  9. If the three straight lines y = 3x- 1, 2y = x + 3 and 3y - 4 = mx are ...

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  10. Find the co-ordinate of the image of (3, 2, -4) on xy plane.

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  11. If S=at^2+bt+c find [ds/dt]'t=2

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  12. If f(x) =1/x , then show thatlim(hrarr0)(f(2+h)-f(2))/h=-1/4

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  13. Find the probability of 53 Sunday in a Leap year ?

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  14. Show that the mean deviation with respect to Arithmetic mean is zero

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  15. If f(x)=1/x^2,show that f(x)-f(x+1)=(2x+1)/(x^2(x+1)^2)and hence again...

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  16. If acosphi=b costheta,show that a tantheta+b tanphi=(a+b)tan((theta+ph...

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  17. Show that tan20^@tan40^@tan80^@=sqrt3

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  18. Prove the following by the method of mathematical induction. :n^3+(n+1...

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  19. If the sum of 1+2r+3r^2+4r^3+...oo9/16,find the value of r.

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  20. In how many ways can the crew of an 8-oared boat be arranged if 2 of t...

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