CUET Preparation Today
If 5 sin2 A + 3cos2A = 4, 0 < A < 90o, then what is the value of tan A ? |
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We are given that :- 5 sin²A + 3 cos²A = 4 2 sin²A + 3 sin²A + 3 cos²A = 4 { using , sin²A + cos²A = 1 } 2 sin²A + 3 = 4 2 sin²A = 1 sin A = \(\frac{1}{ √2 }\) { we know, sin 45º = \(\frac{1}{ √2 }\) } So, A = 45º Now, tan A = tan 45º = 1 |
