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Statement:1 If cos(A+B)sin( C +D) = cos(...

Statement:1 If `cos(A+B)sin( C +D) = cos(A-B) sin(C-D)`, then the values of cotAcotBcotC is cotD. And
Statement:2: If `cos(A+B) sin(C+D)= cos(A-B) sin(C-D)` then the value of tanAtanBtanC is tanD.

A

Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for statement-4

B

Statement-1 is true, Statement-2 is true, Statement-2 is not a correct expanation for statement-4

C

Statement-1 is True, Statement-2 is false

D

Statement-1 is False, Statement-2 is true

Text Solution

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The correct Answer is:
A
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AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section E (Assertion-Reason Types Questions)
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  6. Statement:1: The value of k for which (costheta- sintheta)^(2) + k sin...

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  7. Statement:1 If theta is acute and 1+ costheta = k, then sin (theta/2) ...

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  8. Statement-1: In an acute angled triangle minimum value of tan alpha + ...

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  9. Statement-1: The equation 3 cosx + 4sinx =6 has no solution. and Sta...

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  10. Statement-1: The general solution of 2^(sinx) + 2^( cosx)= 2^(1-1/sqrt...

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  11. Statement:1: If sum (r=1)^(n) sin(x(r)) = n, then sum(n=1)^(n) cot (x(...

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  12. Statement:1 The number of real solution of the equation sinx = 4^(x) +...

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  13. Statement-1: The general solution of tan 5theta = cot 2theta is theta ...

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  14. Statement-1: If triangleABC, 3bc=(a-b+c)(a+b-c) then A=120^(@). and ...

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  15. ABCD is a quadrilateral in which a circle is inscribed. Statement:1 ...

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  16. Statement:1 In triangleABC, if a lt b sinA, then the triangle is possi...

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  17. Let ABCD be a cyclic quadrilateral then Statement:1 sinA + sinB+ sin...

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  18. Statement I In a triangle ABC if tan A: tan B: tan C=1 :2:3, then A=...

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