Let sin(−θ)=−3/5 and tanθ> 0. what is the value of cos(−θ)?

a 3/5

b−3/5

c 4/5

d −4/5

The value of  Cos (-Ф) .

Step-by-step explanation:

Given Trigonometric function as :

sin( - Ф ) =

- sin Ф =

So, sin Ф =

Now, as sin Ф =

So ,   =  

So, perpendicular = 3

And hypotenuse = 5

Now, From Pythagoras Theorem

Base ² = Hypotenuse² - Perpendicular²

Or, Base ² = 5² - 3²

Or, Base ² = 25 - 9

Or, Base ² = 16

∴  Base =

I.e Base = 4

Now, Cos Ф =  

So, Cos Ф =  

Now , Since

Cos ( - Ф ) = Cos Ф

So,  Cos ( - Ф ) = Cos Ф =  

Hence The value of  Cos (-Ф) . Answer