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Find all other trigonometrical ratios if...

Find all other trigonometrical ratios if ` sintheta=-(2sqrt(6))/5 andtheta` lies in quadrant III.

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Given,
`sintheta=(−2sqrt6)/5`
we know that,
`sin^2theta+cos^2theta=1`
`=>1-sin^2theta=cos^2theta`
`=>sqrt(1-sin^2theta)=costheta`
`=>sqrt(1-(24/25))=costheta`
`=>1/(5)=costheta`
...
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RD SHARMA-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
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  8. If cotx(1+sinx)=4m andcotx(1-sinx)=4n , prove that (m^2-n^2)^2=m n .

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  10. Prove that: sqrt((1-sintheta)/(1+sin theta))+sqrt((1+sintheta)/(1-sint...

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  11. If sectheta+tantheta=p , obtain the values of sectheta,tantheta and s...

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  12. If acos theta-b sin theta=c , show that asin theta+b cos theta=+-sqrt(...

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  13. If t a ntheta+sintheta=m and tantheta-sintheta=n , show m^(2-)n^2=4sq...

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  14. Prove that: s e c^2theta+cos e c^2theta=cosec^2θ.sec^2θ .

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  15. Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...

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  16. Prove that: 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta...

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  17. Prove that: 2s e c^2theta-s e c^4theta-2cos e c^2theta+cos e c^4theta=...

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

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  19. Which of the following is correct? s in1^0> s in1 (b) s in1^0<s in1 ...

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  20. If f(x)=cos^2x+s e c^2x ,t h e n (a)f(x)<1 (b) f(x)=1 (c) 2ltf(x)<1...

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