In a right-angled triangle KMS (C-line angle) KM = 5, MC = 4. Find: sinM, cosM, tgM.
| February 13, 2021 | education
Since the CMК triangle is rectangular, then by the Pythagorean theorem we determine the length of the leg CК.
CK ^ 2 = MC ^ 2 – CM ^ 2 = 25 – 16 = 9.
СK = 3 cm.
The sine of an acute angle of a right-angled triangle is the ratio of the opposite leg to the hypotenuse. SinCMK = CK / MK = 3/5.
The cosine of an acute angle of a right-angled triangle is the ratio of the adjacent leg to the hypotenuse. CosCMK = CM / MK = 4/5.
The tangent of an acute angle of a right-angled triangle is the ratio of the opposite leg to the adjacent leg. tgCMK = CK / MC = 3/4.
Answer: SinM = 3/5, CosM = 4/5, tgM = 3/4.
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