Question

If cosA+ sinA=root 2, show that (cosA-sinA)=root2sinA​

Answer 1

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)

Hope helps

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Answer 2

Answer:

Pal your ans is here

Step-by-step explanation:

A is 45degree cause cos45 = sin45 = root2

cos45-sin45

=0

sin45 =1/root2

so sin45 multiply by root2 is 1

so your question is a bit wron cause 0=1 is not possible

so your question is cosA/sinA=root2 sinA

hope you his helps you.