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Grade: 11

                        

( * ) If a cos theta + b sin theta = c then (a sin theta – b cos theta) square =

6 years ago

Answers : (2)

Jitender Singh
IIT Delhi
askIITians Faculty
158 Points
							Ans:
Hello Student,
Please find answer to your question below

acos\theta + bsin\theta = c…........(1)
Let
asin\theta - bcos\theta = d…....(2)
(1) + (2)
a^{2}cos^{2}\theta + b^{2}sin^{2}\theta + a^{2}sin^{2}\theta + b^{2}cos^{2}\theta = c^{2} + d^{2}
a^{2}(cos^{2}\theta + sin^{2}\theta) + b^{2}(sin^{2}\theta + cos^{2}\theta) = c^{2} + d^{2}
a^{2} + b^{2} = c^{2} + d^{2}
d^{2} = a^{2} + b^{2} - c^{2}


6 years ago
dhananjay
19 Points
							asin theta+ bcos theta= ca/csin T + b/c cos T=1a/c sin T+ b/c cos T= sin^2T+cos^2Ta/c sin T + b/c cos T = sinT.sinT+cosT.cosT compare then a/b=sinT and b/c= cosTnow(acosT-bsinT)^2= (a×b/c- b×a/c)^2=0
						
4 years ago
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