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The equation a sin x + b cos x = c, wher...

The equation a sin x + b cos x = c, where `|c| > sqrt (a^2 +b^2)` has :

A

a unique solution

B

infinite no. of solutions

C

no solution

D

None of these.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If sin (alpha+beta)=1, sin (alpha-beta)=1/2, then tan (alpha+ 2beta). ...

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  2. In a triangle ABC, tan frac (A)(2)=5/6, tan frac (C)(2)=2/5, then :

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  3. The equation a sin x + b cos x = c, where |c| > sqrt (a^2 +b^2) has :

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  4. In a triangle ABC, a = 4, b=3, angle A = 60^@, then c is the root of t...

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  5. If in a triangle, a cos ^(2)""C/2+c cos ^(2)""A/2=(3b)/(2), then its s...

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  6. The angles of a triangle are in the ratio 4: 1: 1, then the ratio of t...

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  7. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

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  8. If alpha, beta be such that pi < alpha- beta < 3 pi. If sin alpha +sin...

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  9. If theta and phi are acute angles, sin theta=1/2, cos phi= 1/3, then t...

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  10. The sides of a triangle, sin alpha, cos alpha and sqrt(1+ sin alpha co...

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  11. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

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  12. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

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  13. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

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  14. The number of solutions of the pair of equations: 2 sin^2 theta- cos 2...

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  15. If p and q are positive real numbers such that p^2+ q^2=1, then the m...

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  16. If sin^-1(x/5) + cosec^-1(5/4)= pi/2, then a value of x is

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  17. AB is a vertical pole with B at the ground level and A at the top. A m...

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  18. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

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  19. If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then

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  20. Let A and B denote the statements A : cos alpha + cos beta + cos gam...

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