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In triangle A B C ,2a csin(1/2(A-B+C)) i...

In triangle `A B C ,2a csin(1/2(A-B+C))` is equal to

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In any triangle A B C ,sin^2A-sin^2B+sin^2C is always equal to (A) 2sinAsinBcosC (B) 2sinAcosBsinC (C) 2sinAcosBcosC (D) 2sinAsinBsinC

In triangle A B C , let /_c=pi/2dot If r is the inradius and R is circumradius of the triangle, then 2(r+R) is equal to a+b (b) b+c c+a (d) a+b+c

Let D be the middle point of the side B C of a triangle A B Cdot If the triangle A D C is equilateral, then a^2: b^2: c^2 is equal to 1:4:3 (b) 4:1:3 (c) 4:3:1 (d) 3:4:1

In any triangle A B C , prove that: (1+cos(A-B)cos C)/(1+cos(A-C)cos B)=(a^2+b^2)/(a^2+c^2)

In triangle A B C , if sinAcosB=1/4 and 3t a n A=t a n B ,t h e ncot^2A is equal to (a)2 (b) 3 (c) 4 (d) 5.

If sinthetaa n d-costheta are the roots of the equation a x^2-b x-c=0 , where a , ba n dc are the sides of a triangle ABC, then cosB is equal to 1-c/(2a) (b) 1-c/a 1+c/(c a) (d) 1+c/(3a)

With usual notations, in triangle A B C ,acos(B-C)+bcos(C-A)+c"cos"(A-B) is equal to(a) (a b c)/R^2 (b) (a b c)/(4R^2) (c) (4a b c)/(R^2) (d) (a b c)/(2R^2)

If ina triangle ABC, b+c=3a, then cot(B/2)cot (C/2) is equal to

If Delta =a^(2) -(b-c) ^(2), where Delta is the area of the triangle ABC, then tan A is equal to-

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CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find all the solution of 4cos^2xsinx-2sin^2x=3sinx

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  2. If f(theta)=(1-sin2theta+cos2theta)/(2cos2theta) , then value of 8f(1...

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  3. In triangle A B C ,2a csin(1/2(A-B+C)) is equal to

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  4. tan100^0+tan125^0+tan100^0tan125^0 is equal to

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  5. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

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  6. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

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  7. IF the lengths of the side of triangle are 3,5 and 7, then the largest...

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  8. For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

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  9. Match list-I with list-II and select the correct answer using the code...

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  10. In a triangle ABC, angleB = pi/3 and angleC= pi/4. Let D divide side B...

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  11. If costheta1 =2costheta2, then tan((theta1-theta2)/2)tan((theta1+theta...

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  12. If (cos e c^2theta-4)x^2+(cottheta+sqrt(3))x+cos^2(3pi)/2=0 holds true...

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  13. Which of the following is the value of sin 27^0-cos 27^0? (a) -(s...

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  14. In triangle A B C ,a , b , c are the lengths of its sides and A , B ,C...

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  15. In a A B C , if tanA:tanB :tanC=3:4:5, then the value of sinA sinB ...

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  16. Let tanx-tan^2x >0 and |2sinx|<1 . Then the intersection of which of t...

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  17. One angle of an isosceles triangle is 120^0 and the radius of its inci...

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  18. If cot^(2)x=cot(x-y)*cot(x-z), then cot2x is equal to (x!= pm pi/4)

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  19. If x+y=pi/4a n dtanx+tany=1,t h e n(n in Z)

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  20. In A B C ,(cot (A/2)+cot(B/2))(asin^2(B/2)+bsin^2(A/2))= (a) cotC (...

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