English, asked by shanmukha43, 1 month ago

if tan theta = 3/4 then sec²A-tan²A​

Answers

Answered by kirtigoyal1608
0

Answer:

1

Explanation:

because we know sec²a-tan²a=1

Answered by jaswasri2006
1
  • sec²A - tan²A = 1

Proof :-

  • tan θ = 3/4 = opposite / adjacent = height / altitude
  • hypotenuse = √(3)²+(4)² = √9+16 = √25 = 5
  • sec θ = hypotenuse/adjacent = 5/4
  • sec² A - tan² A = (5/4)² - (3/4)²
  • = (25/16) - (9/16) = (25-9)/16 = 16/16 = 1
  • sec² A - tan² A = 1

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