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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)`

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Find sin^(-1)(sin theta)*cos^(-1)(cos theta),tan^(-1)(tan theta),cot^(-1)(cot theta) for theta in((5 pi)/(2),3 pi)

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(sintheta+sin2theta)/(1+costheta+cos2theta) =

What is (costheta)/(1-tantheta)+(sin theta)/(1-cottheta) equal to ?

((cottheta)/(cottheta-cot3theta)+(tantheta)/(tantheta-tan3theta))=?

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

(sintheta-costheta+1)/(sintheta+costheta-1) (where theta ne (pi)/(2)) is equal to

MOTION-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise -3
  1. Find the value of the following cot^(-1) (tan (-6))

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  2. Find the value of cos^(-1){1/sqrt2(cos((9pi)/10)-sin((9pi)/10))}.

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  3. Find sin^(-1)(sintheta).cos^(-1)(costheta),tan^(-1)(tantheta),cot^(-1)...

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  4. Prove each of the following tan^(-1) x=-pi +cot^(-1) 1/x=sin^(-1) (x...

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  5. If -1<x<0,t h e ncos^(-1)x is equal to sec^(-1)1/x (b) pi-sin^(-1)sqr...

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  6. Find the value of tan[cos^(-1) (1/2) + tan^(-1) ( - 1/sqrt3)]

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  7. Sin[pi/3-sin^(-1)(-1/2)]

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  8. cos^(-1) ""(cos"" (7pi )/(6))

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  9. tan^(-1)("tan"(2pi)/3)

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  10. cos(tan^(-1)(3/4)) =

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  11. Simplify the following: tan("sin"^(-1)3/5+"cot"^(-1)3/2)

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  12. prove that , sin ^(-1) (cos) . sin ^(-1 )x+cos ^(-1)( sin) . cos ^...

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  13. Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x...

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  14. tan^(-1)((2mn)/(m^2-n^2))+tan^(-1)((2pq)/(p^2-q^2))=tan^(-1)((2MN)/(M^...

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  15. tan(tan^-1x+tan^-1y+tan^-1z)-cot(cot^-1x+cot^-1y+cot^-1z) is equal to

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  16. निम्नलिखित समीकरण को हल कीजिए - tan^(-1)((1-x)/(1+x))=(1)/(2)tan^(-1...

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  17. Prove that 3tan^-1(1/(2+sqrt3))-tan^-1(1/2)=tan^-1(1/3)

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  18. Find the number of values of x in [-pi/4, pi/4] satisfying the equatio...

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  19. Prove that cos^(-1) (sqrt(1/3))-cos^(-1) (sqrt((1)/(6)))+cos^(-1) ((...

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  20. Prove that 2 tan^(-1) (cosec tan^(-1) x - tan cot^(-1) x) = tan^(-1) x...

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