Question

34. If tan A = 3/4, find the value of ( cos A - sin A) / sec A​

Answer 1

Answer:

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Answer 2

Answer:

4/25.

Use trigonometric ratios

Step-by-step explanation:

tan A = opposite side/adjacent side = 3/4

A

| \ AC^2=AB^2+BC^2

| \ AC^2= 3×3+4×4

4 | \ 5 AC^2=9+16

| \ AC^2=25

|___\ AC=5

B 3 C

Cos A = adjacent side/ hypotenuse

= 4/5

Sin A = opp/hyp

= 3/5

Sec A = hyp/adj

= 5/4

Cos A - Sin A / sec a = 4/5-3/5÷5/4

=1/5÷5/4

=1/5×4/5

= 4/25