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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-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. If 0 lt A, B lt 90^(@), cos A= (5)/(13) and sin B =(4)/(5) then find s...

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

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

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

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

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

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

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  10. If tan (alpha - beta) = 7/24 and tan alpha = 4/3, where alpha , beta a...

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  11. In a Delta ABC, A is obtuse. If sin A=(3)/(5) and sin B=(5)/(13), the...

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  12. If cos A = cos B = -1/2 and A does not lie in the second quadrant and ...

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  13. If 8 tan A = -15 and 25 sin B = -7 and neither A nor B is in the four...

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  14. If 0^(@) lt A, B lt 90^(@), such that cos A = 5/13, sin B = 4/5, find ...

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  15. If cos alpha = (-3)/5 and sin beta = 7/25 where (pi)/2 lt alpha lt pi ...

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  16. If cos A = 7/25 and (3pi)/2 lt A lt 2pi, then find the value of cot A/...

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  17. If 0 lt theta lt (pi)/8, show that sqrt(2+sqrt(2+sqrt(2+2cos4theta))) ...

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  18. Evaluate sum(sin (A+B)sin(A-B))/(cos^(2)A cos^(2)B): if non of cos A ,...

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  19. If tan^(2)theta = (1-e^2) show that sec theta + tan^(3). "cosec" theta...

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  20. Express (sin 4 theta)/(sin theta) in terms of cos^(3)theta, cos theta.

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