Assume that is an angle in standard position whose terminal

Assume that is an angle in standard position whose terminal side contains the point (24,7). Find the exact values of the following functions.

sin=

cos=

tan=

cot=

sec=

csc=

Solution

Point ( 24, 7) in coordinate plane in Ist coordiante

All trig ratios would be +ve

Now sinx = height/ hypotenuse

Hypotenuse = ssqrt( 24^2 +7^2) = 25

sinx = 7/25

cosx = base/hypotensues = 24/25

tanx = height/base = 7/24

secx = 1/cosx = 25/24

cscx = 1/sinx = 25/7

cotx = 1/tanx = 24/7

Assume that is an angle in standard position whose terminal side contains the point (24,7). Find the exact values of the following functions. sin= cos= tan= cot

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