Math, asked by saloniverma5, 9 months ago

cosx+sinx=√2cosx then show that cosx-sinx=2sinx

Answers

Answered by gurpritjai

2

cosx + sinx = √2cosx. ( given )

squaring both sides

cos²x+sin²x+2sinxcosx=2cos²x

1+2sinxcosx=2cos²x

2sinxcosx =2cos²x-1

2sinxcosx=2cos²x-sin²x-cos²x

2 sinxcosx=cos²-sin²x (1)

cosx-sinx

squaring the above expression

cos²x+sin²x-2sinxcosx

sin²+cos²x-cos²x+sin²x

2sin²x

hope it helps

Previous Question

Next Question

Similar questions

Math, 4 months ago

A, B, C and D can complete a piece of work in 6, 8, 12 and 24 days respectively. D, C, A and B work sequentially for 2 days each in the same order. This procedure repeats until the work is completed. Who would be the last person completing the work?

Math, 4 months ago

Exercise 1. Find the value of (i) (a) / 425 / ...

English, 4 months ago

Rita described the event to her mother.(described is underline word). (name the kind of underline verb)...

Math, 9 months ago

if sin theta = cos theta then the value of theta is...

Science, 9 months ago

dampness has no effect on stored grains true or false...

Social Sciences, 11 months ago

In the forests of Madhya Pradesh, there is wide-spread damage, due to borer. In which tree specie has the damage occurred? A.Arjun B.Bija C.Teak D.Sal...

Social Sciences, 11 months ago

Approximately what percentage of the country’s total managanese is extracted in Madhya Pradesh? A.0.7 B.0.2 C.0.5 D.0.8...

Social Sciences, 11 months ago

How many districts of M.P. at present are categorised as ‘developed districts’ in terms of the categorisation done in 1990? A.5 B.6 C.7 D.3...