Triangle S T U is shown. The length of T U is 21.3 and the length of S U is t. Angle U S T is 118 degrees and angle S T U is 34
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Answer:
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,<u> From Pythagoras Theorem</u>
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