 Hello friends and how are you all today? The question says prove that cos a upon 1 minus sine a plus cos a upon 1 Sorry, it was 1 plus sine a cos a upon 1 minus sine a is equal to 2 set a Let us start the solution From our left hand side We have cos e upon 1 plus sine a Plus cos a upon 1 minus sine a Now taking the real sim we have 1 plus sine a Into 1 minus sine a and the numerator we will be having cos a into 1 minus sine a Plus cos a into 1 plus sine a right Now on opening the brackets we have cos a minus cos a sine a plus cos a plus cos a sine a Upon using the identity a plus b a minus b that is a square minus b square Simplifying it further we have 2 cos a upon 1 minus sine square a We know that we can write 1 minus sine square a as cos square a on Simplifying it further We are left with 2 upon Cos a which can be written as 2 and 1 upon cos a can be written as a kint a Which is our RHS so Left hand side equates the right hand side and hence we have proved the question So hope you understood it and enjoyed it. Have a nice day