Home
Class 12
MATHS
Find sin^(-1)(sintheta).cos^(-1)(costhet...

Find `sin^(-1)(sintheta).cos^(-1)(costheta),tan^(-1)(tantheta),cot^(-1)(cottheta)` for `theta in ((5pi)/2,3pi)`

Text Solution

Verified by Experts

The correct Answer is:
`sin^(-1) ( sin theta) = 3 pi - theta ;" " cos^(-1) ( cos theta ) = theta - 2 pi`
` tan^(-1) ( tan theta) = theta - 3 pi;" " cot^(-1) ( cot theta) = theta - 2 pi `
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|5 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|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

(m+2)sintheta+(2m-1)costheta=2m+1 then tan theta is

Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)d theta

If sintheta=3/5 , evaluate [(costheta-(1/tantheta))/(2cottheta)] .

(sin^3theta-cos^3theta)/(sintheta-costheta)-(costheta)/(sqrt(1+cot^2theta))-2tanthetacottheta=-1 if theta in (0,pi/2) (b) theta in (pi/2,pi) theta in (pi,(3pi)/2) (d) theta in ((3pi)/2,2pi)

tantheta/(1-cottheta)+cottheta/(1-tantheta)=1+tantheta+cottheta .

Prove that (1+tan^2 theta)/(1+cot^2 theta)=((1-tantheta)/(1-cottheta))^2 .

(1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/costheta .

If |{:(1+cos^(2)theta,sin^(2)theta,4cos6theta),(cos^(2)theta,1+sin^(2)theta,4cos6theta),(cos^(2)theta,sin^(2)theta,1+4cos6theta):}|=0 , and theta in (0,(pi)/(3)) , then value of theta is

(1+sintheta)/(1-sintheta)=1+(2tantheta)/costheta+2tan^2theta .