Step-by-step explanation:
1) sin A = 2/5 csc A = 5/2
5²= 2²+b²
b²= 5² - 2²= 25-4=21
b = √21 = 4.582575695
cos A = (√21) / 5 sec A = 5 / √21
tan A = 2 / √21 cot A = (√21) / 2
2) sin A = 4 / 7 csc A = 7 / 4
7² = 4²+b²
b² = 7² - 4² = 49 - 16 = 33
b = √33 = 5.7445626465
cos A = (√33) / 7 sec A = 7 / √33
tan A = 4 / √33 cot A = (√33) / 7
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Step-by-step explanation:
1) sin A = 2/5 csc A = 5/2
5²= 2²+b²
b²= 5² - 2²= 25-4=21
b = √21 = 4.582575695
cos A = (√21) / 5 sec A = 5 / √21
tan A = 2 / √21 cot A = (√21) / 2
2) sin A = 4 / 7 csc A = 7 / 4
7² = 4²+b²
b² = 7² - 4² = 49 - 16 = 33
b = √33 = 5.7445626465
cos A = (√33) / 7 sec A = 7 / √33
tan A = 4 / √33 cot A = (√33) / 7