Question

if sin theta minus cos theta is equals to 1 upon 2 then find the value of one upon sin theta + cos theta​

Answer 1

Hope this will help you

Answer 2

Given: sin∅ - cos∅ = 1/2

To find: 1/ sin∅ + cos∅

Solution: By rationalising you will get  1/ sin∅ + cos∅ as sin∅ - cos∅.

Here are the required steps--

1/ sin∅+ cos∅ x sin∅- cos∅/ sin∅- cos∅  ...____(rationalising)

sin∅-cos∅/ sin^2∅-cos^2∅  ...____( by identity, sin^2∅-cos^2∅=1)

sin∅-cos∅= 1/2 ..._____( given)

Thus, your answer is 1/2!

Hope it helped!!