Question

For sin x = 3/5 the value of cos x + tan x is​

Answer 1

Answer:

sinx = 3/5

we know that,

sin^2 x + cos ^ 2 x =1

== cosx =sqrt (1-sin ^2 x )

== sqrt (1-9/25)

sqrt (16/25)

=4/5

===cosx =4/5 .

this is your answer,

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Answer 2

Step-by-step explanation:

sinx=3/5

sin thetha =Perpendicular/Hypotenuse=3/5

let perpendicular be 3x and hypotenuse 5x

In right angle traingle

Hypotenuse ²=Perpendicular ²+Base²

(5x)²=(3x)²+B²

25x²=9x²+B³

16x²=B²

B=4x

cos x=Base/hypotenuse

cos x=4x/5x

cos x=4/5

tan x=perpendicular/base

tan x=3x/4x

tan x=3/4

cos x+tan x=4/5+3/4

cos x+tan x=4×4/20+3×5/20

cos x+tan x=16/20+15/20

cos x+tan x=31/20