Question

If 3 sec theta =5, then find cos theta and tan theta

Answer 1

solution;

3 sec∅=5

sec∅=5/3

1/cos∅=5/3

cos∅=3/5

sin∅=√1-cos²∅

=√1-(3/5)²

=√1-9/25

=√25-9/25

=√16/25

=√(4/5)²

=4/5

sin∅=4/5

now,

tan∅=sin∅/cos∅

=4/5/3/5

=4/3

tan∅=4/3

Answer 2

Answer:

solution;

3 sec∅=5

sec∅=5/3

1/cos∅=5/3

cos∅=3/5

sin∅=√1-cos²∅

=√1-(3/5)²

=√1-9/25

=√25-9/25

=√16/25

=√(4/5)²

=4/5

sin∅=4/5

now,

tan∅=sin∅/cos∅

=4/5/3/5

=4/3

tan∅=4/3

Step-by-step explanation: