`If 0^(@) ltAltBlt90^(@)` show that `sin A lt sin B`

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

If 0^@lethetale90^@ then show that sin theta+ cos theta>1 .

If 90^(@) lt A lt 180^(@) and sin A =4/5, then tan ""A/2 is equal to

By taking A = 90^@ and B = 30^@ , show that sin (A - B) = sin A cos B-cos A sin B.

If 0^(@)lt x lt 90^(@) and 5 sin^(2)x = 7 sin x - 2 , what is the vlaue of sin x ?

If 0 lt x lt pi/2 , show that, sin x lt x lt tan x

If 0^(@) lt theta lt 90^(@) and cos^(2) theta - sin^(2) theta = (1)/(2) , then what is the value of theta ?

If 0^(@) lt theta lt 90^(@) and cos^(2) theta - sin^(2) theta = 1/2 ,then value of theta is?