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If cos theta =(-5)/(13) and (pi)/(2) lt...

If `cos theta =(-5)/(13) and (pi)/(2) lt theta lt pi ,` find the value of `sin 2 theta `

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The correct Answer is:
`=(-120)/(169)`
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SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-LAQ
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  2. If sin =(1)/(sqrt10), sin beta =(1)/(sqrt5) and alpha , beta are acu...

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  3. If cos theta =(-5)/(13) and (pi)/(2) lt theta lt pi , find the value...

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  4. If cos theta = t(0lt t lt 1) and theta does not lies in the first qua...

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  5. If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2...

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  6. If cos theta =(5)/(13) and 270 ^(@) lt theta lt 360^(@), evaluate sin ...

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  7. If sin alpha =(3)/(5) , where (pi)/(2) lt alpha lt pi , evaluate cos ...

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  8. If cos 0 =(-3)/(5) and pi lt 0 lt (3pi)/(2) , find the value of tan th...

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  9. Prove that (sin theta + sin 2 theta )/(1+cos 0 + cos 2 theta )= tan th...

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  10. If theta is not an integral multiple of (pi)/(2), prove that tan thet...

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  11. Prove that tan 3A. tan2A.tanA = tan3A - tan 2A - tan A

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  12. If cos theta gt 0, tan theta + sin theta =m and tan theta -sin theta =...

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  13. If 0 lt A lt B lt (pi)/(4) and sin (A+B)=(24)/(25) and cos (A-B)= (4)/...

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  14. If A+B, A are acute angles such that sin (A+B)=(24)/(25) and tan A=(3)...

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  17. In a Delta ABC, If tan .(A)/(2)=(5)/(6) and tan .(B)/(2) =(20)/(37), ...

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  18. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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  19. For any alpha in R, prove that cos ^(2) (alpha -(pi)/(4))+ cos ^(2) (a...

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