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if sinA = 3/5 then what is the value of tanA + cosA?1. 31/202. 23/203. 21/204. 19/20 |
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Answer» Correct Answer - Option 1 : 31/20 Given: It is given that sinA = 3/5 Formula Used: Basic concept of trigonometric ratio and identities We know that Sinθ = Perpendicular/Hypotenuse Cosθ = Base/ Hypotenuse Tanθ = Perpendicular/Base (Hypotenuse)2 = (Perpendicular)2 + (Base)2 Calculation: ∵ sinA = 3/5 ∴ P = 3 and h = 5 Now, by the help of Pythagoras theorem ∴ B2 = 25 – 9 = 16 ⇒ B = 4 Now we have to find the value of tanA + cosA ∴ tanA + cosA = P/B + B/H = 3/4 + 4/5 = 31/20 Hence, option (1) is correct |
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