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find the indicated trigonometric ratio as a fraction in simplest form. 1. sin L= 2. tan N= 3. cos L= 4. sin N=

Find The Indicated Trigonometric Ratio As A Fraction In Simplest Form 1 Sin L 2 Tan N 3 Cos L 4 Sin N class=

Sagot :

Before finding the values of all trigonometric functions, fidn the length of the segment LM, by using the Pithagorean theorem, as follow:

(LN)² = (MN)² + (LM)²

MN = 6

LN = 10

solve the equation for LM and replace the values of the other parameters:

(LM)² = (LN)² - (MN)²

(LM)² = (10)² - (6)²

(LM)² = 100 - 36

(LM)² = 64

LM = √64

LM = 8

Take into account that:

cos x = adjacent side to x / hypotenuse

sin x = opposit side to x/ hypotenuse

tan x = opposite side to x / adjacent side to x

Next, find the value of the required functions:

1. sin L = MN/LN = 6/10 = 3/5

2. tan L = MN/LM = 6/8 = 3/4

3. cos L = LM/LN = 8/10 = 4/5

4. sin N = LM/LN = 8/10 = 4/5

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