Question

In right angled triangles angle mn if m angles n= q m angle m =90 degree sin q =24 /25 find cos q and tan q​

Answer 1

Step-by-step explanation:

. cos θ = 24/25 In ∆LMN, ∠M = 90°, ∠N = θ Let the common multiple be k. ∴ MN = 24k and LN = 25k Now, LN2 = LM2 + MN2 … [Pythagoras theorem] ∴ (25k)2 = LM2 + (24k)2 ∴ 625 k2 = LM2 + 576k2 ∴ LM2 = 625k2 – 576k2 ∴ LM2 = 49k2 ∴ LM = √49k2 ...[Taking square root of both sides] = 7k Read more on Sarthaks.com - https://www.sarthaks.com/852893/in-right-angled-lmn-if-n-m-90-cos-24-25-find-sin-and-tan-similarly-find-sin-2-and-cos-2?show=852906#a852906