Question

If cosA +sins √2cosA
Show that cosA-SinA=√2sinA

Answer 1

Answer:

Step-by-step explanation:

cosA +sinA= √2cosA

=> sinA= √2cosA- cosA

=> sinA = cosA(√2 -1)

Now multiplying both side by ( √2+1)

=>sinA(√2+1) = cosA(√2–1)(√2+1)

=>√2sinA + sinA=cosA(2–1)

=> cosA-sinA= √2sinA (Answer)