14. If cos θ =
4
5
and sin θ =
3
5
, find the value of sec2θ - tan2θ.
Answers
Answered by
0
Step-by-step explanation:
it is the theoarn tha sec2 -tan2 is equal to 1
Answered by
0
Answer:
cos θ = 4/5 sin θ = 3/5
sec²θ - tan²θ = 1/cos² θ - sin² θ/cos² θ
= (1-sin²θ)/cos² = cos²θ/cos²θ
= 1
sec²θ - tan²θ = 1/cos² θ - sin² θ/cos² θ
= 5²/4² - 3²/5²(5²/4²)
= 25/16 - 9/16
= 16/16 = 1
Similar questions