Question

1)Calcule cotg(x), sabendo que tg(x) = 7/2
2) Calcule sec(x), sabendo que cos(x) = 5/8
3) Calcule cossec(x), sendo sen(x) = 3/4
4) Calcule cossec(x),sendo sen(x) = -8/13
5) Calcule sec(x), sendo cos(x) = V5/9
6) Calcule sec(x), sendo tg(x) = 2.V7/15​

Answer 1

Boa tarde!!

1) cotg (x) = 1/tg (x)

cotg (x) = 1/7/2

cotg (x) = 2/7

2) sec (x) = 1/cos (x)

sec (x) = 1/5/8

sec (x) = 8/5

3) cossec(x) = 1/ sen (x)

cossec (x) = 1/3/4

cossec (x) = 4/3

4) cossec (x) = 1/sen (x)

cossec (x) = 1/-8/13

cossec (x) = -13/8

5) sec (x) = 1/cos (x)

sec (x) = 1/√5/9

sec (x) = 9/√5  ⇒ sec (x) = 9√5/5

6) sec²(x) = tg² (x) + 1

sec² (x) = (2√7/15)² + 1

sec² (x) = 28/225 + 1

sec² (x) = (28 + 225)/225

sec² (x) = 253/225

sec (x) = √(253/225)

sec (x) = √253/15