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CBSE Class 10 Answered

7 sin squared theta plus 3 cos squared theta equals 4 then show that tantheta=fraction numerator 1 over denominator square root of 3 end fraction
Asked by dilwalevk143 | 22 Sep, 2018, 01:53: PM
answered-by-expert Expert Answer
7sin2 θ + 3cos2 θ = 4
begin mathsize 16px style fraction numerator 7 sin squared straight theta over denominator cos squared straight theta end fraction plus fraction numerator 3 cos squared straight theta over denominator cos squared straight theta end fraction equals fraction numerator 4 over denominator cos squared straight theta end fraction
7 tan squared straight theta plus 3 equals 4 sec squared straight theta
7 tan squared straight theta plus 3 equals 4 open parentheses 1 plus tan squared straight theta close parentheses
Solving space this space further space we space get space
3 tan squared straight theta equals 1
tanθ equals fraction numerator 1 over denominator square root of 3 end fraction end style
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