Given: cos 0 = 35/37

Find: cos 20

Step-by-step explanation:

Given sin = .89, tan = 1.98, calculate any other trigonometric values that are available

Calculate csc(x) given sin(x):

csc(x)  =  1

 sin(x)

csc(x)  =  1

 .89

csc(x) = 1.123595505618

Calculate cot(x) given tan(x):

cot(x)  =  1

 tan(x)

cot(x)  =  1

 1.98

cot(x) = 0.50505050505051

Calculate cos(x) given sin(x) and tan(x):

tan(x)  =  sin(x)

 cos(x)

Cross multiplying, we get:

tan(x) x cos(x) = sin(x)

Divide each side of the equation by tan(x):

tan(x) x cos(x)  

tan(x)

=

sin(x)

tan(x)

cos(x)  =  .89

 1.98

cos(x) = 0.44949494949495

Calculate sec(x) given cos(x):

sec(x)  =  1

 cos(x)

sec(x)  =  1

 0.44949494949495

sec(x) = 2.2247191011236

Total Summary:

sin(x) = .89

cos(x) = 0.44949494949495

tan(x) = 1.98

csc(x) = 1.123595505618

sec(x) = 2.2247191011236

cot(x) = 0.50505050505051

.

step-by-step explanation:

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