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if 3sinthita+5costhita =5,prove that(5sinthita-3costhita)=+and-3

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if 3sinthita+5costhita =5,prove that(5sinthita-3costhita)=+and-3

Posted by Aman Raj 6 years, 10 months ago

CBSE > Class 10 > Mathematics

1 answers

Sneha Singh 6 years, 10 months ago

=3 sin theta + 5 cos theta= 5 Now by squaring both side = 97 squared theta + 25 cos theta + 30 sin theta cos theta= 25 = 9 ( 1 - cos²theta) + 25(1-sin² theta)+30 cos theta into sin theta = 25 = 9 - 9 cos squared theta + 25 - 25 sin square theta + 30 sin theta into cos theta= 25 = 9 + 25 - ( 9 cos square theta + 25 sin square theta minus 30 sin theta into cos theta)=25 = -(9 cos square theta + 25 sin square theta minus 30 sin theta into cos theta) = 25-34 = (3 cos theta - 5 sin theta )²=9 = 3 cos theta- sin theta=+,-3

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