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plz solve this question
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Asked by ishangoswami006 | 05 Jul, 2020, 10:21: AM
answered-by-expert Expert Answer
Q: If sin theta = 1/2, show that 3 cos theta - 4 cos3theta = 0
Solution:
cos theta equals square root of 1 minus sin squared theta end root equals square root of 1 minus 1 fourth end root equals square root of 3 over 4 end root equals fraction numerator square root of 3 over denominator 2 end fraction 3 cos theta minus 4 cos cubed theta equals cos theta open parentheses 3 minus 4 cos squared theta close parentheses equals fraction numerator square root of 3 over denominator 2 end fraction open parentheses 3 minus 4 cross times 3 over 4 close parentheses equals fraction numerator square root of 3 over denominator 2 end fraction open parentheses 3 minus 3 close parentheses equals fraction numerator square root of 3 over denominator 2 end fraction open parentheses 0 close parentheses equals 0 H e n c e comma space 3 cos theta minus 4 cos cubed theta equals 0
Answered by Renu Varma | 06 Jul, 2020, 11:19: AM

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