Question

24 If 5 sin theta = 3, find the value of sec theta– tantheta upon sec theta+tan theta

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Answer 1

Answer:

1/4

Step-by-step explanation:

sin A=3/5

So we can calculate other trigonometric ratios as well ie,

CosA= 4/5

TanA= 3/4

SecA = 5/4

(SecA- tanA) /(secA+tanA) =(5/4-3/4)/5/4+3/4)

=(2/4)/(8/4)

=(1/2)/(2/1)

=1/4

Answer 2

Step-by-step explanation:

given:5sin theta=3

i.e., sin theta= 3/5

also, we know that

sin theta= perpendicular/hypotenuse

sin theta = 3/5= perpendicular/hypotenuse

therefore, perpendicular= 3

and, hypotenuse =5

therefore, 5^2= 3^2+ (BASE)^2

I.E., 25= 9+base^2

i.e., √25-9 =base

i.e., 4= base

according to the question,

5/4-3/4upon 5/4+3/4=1/2upon2

i.e., sec theta - tan theta upon sec theta + tan theta = 1/4(answers)