Home
Class 12
MATHS
If 0 lt A lt pi/2 and sin A +cosA+tanA+c...

If `0 lt A lt pi/2` and `sin A +cosA+tanA+cotA+secA+cosecA=7` and `sinA` and `cosA` are the roots of the equation `4x^(2)-3x+a=0`, then the value of 25a must be

Text Solution

Verified by Experts

The correct Answer is:
7
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|20 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

  • TRIGONOMETRIC IDENTITIES AND EQUATIONS

    VMC MODULES ENGLISH|Exercise LEVEL -2|49 Videos

  • THREE DIMENSIONAL GEOMETRY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos

  • VECTORS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE) (TRUE/ FALSE)|30 Videos

Similar Questions

Explore conceptually related problems

If 0 lt A lt pi//2 and sinA + cosA + tan A + cotA + secA + cosec A=7 and sinA and cosA are roots of equation 4x^(2) - 3x +a=0 . Then value of 25a is:

cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0 , then find the value of sin2α is:

Knowledge Check

  • If A lies in the second quadrant and 3tanA+4=0 , then the value of 2cotA-5cosA+sinA is

    A
    (a)`-53/(10)`
    B
    (b)`23/(10)`
    C
    (c)`37/(10)`
    D
    (d)`7/(10)`

    • Similar Questions

    Explore conceptually related problems

    If an angle A of a triangle ABC is given by 3 tanA+1=0 , then sinA and cosA are the roots of the equation

    Let cos alpha be a root of the equation 25x^(2) +5x -12 = 0 -1 lt x lt 0 ,then the value of sin^(2)alpha is

    If sinA and cosA are the roots of the equation 4x^(2)-3x+a=0, sinA+cosA+tanA+cotA+secA+"cosec "A=7 and 0 lt A lt (pi)/(2) , then the value of a must be

    If A lies in the second quadrant and 3tanA + 4=0 , then find the value of 2cotA-5cosA+ sinA .

    If sinA=cosA,then find the value of sin 2A.

    If alpha, beta are the roots of x^(2) - 3x + a = 0 , a in R and lt 1 lt beta, then find the values of a

    If cosA=0.6 , find the value of 5sinA-3tan A.

    Home
    Profile