Question

If cos − sin = √2 sin , show that cos + sin = √2 cos .

Answer 1

Answer:

the answer is pinned, refer to it

mark as brainliest if helpful

follow

Answer 2

Answer:

Step-by-step explanation:

we want to show that cos+sin=√2cos

given

cos − sin = √2 sin // squaring on both side and we get

• cos²+sin²-2cossin=2sin²
• cos²=2sin²-sin²+2cossin // adding cos² on boht side
• cos²+cos²=sin²+cos²+2sincos // (a²+b²+2ab)=a²+b² so
• 2cos²=(sin+cos)² // square root on both side and we get
• √2cos=sin+cos // so prove