Home
Class 12
MATHS
Prove that: cos ( cos^(-1) x) = cosec (...

Prove that: `cos ( cos^(-1) x) = cosec ( cosec^(-1)x).`

Text Solution

Verified by Experts

The correct Answer is:
`x = pm 1`
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 5|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|5 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal functions, then the maximum range of value of x is

Draw the graph of y="cosec"("cosec"^(-1)x)" or "y=sec(sec^(-1)x) .

Prove that sec [cot^-1{sin(tan^-1 (cosec(cos^-1 a)))}] = sqrt(3-a^2), where |a| < 1

Prove that cosec^-1 x = cot^-1sqrt(x^2 -1) for x ge 1

Prove that cot^-1 x = cosec^-1 sqrt(1+x^2) for x ge 0

Prove that cot(cosec^-1x) = sqrt(x^2 - 1) for x ge 1

Fill in the blanks: For x^2 > 1, sec (cosec^-1 x) + cosec (sec^-1 x) is equal to……….

Let x_(1) " and " x_(2) ( x_(1) gt x_(2)) be roots of the equation sin^(-1) ( cos ( tan^(-1)( cosec ( cot^(-1)x)))) = pi/6 , then

Prove that : cot^-1 3 + cosec^-1 sqrt5 = pi/4

Evaluate int (cosec^(-1)x + sec^(-1)x) dx