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Answer:
The value of SecФ is .
Step-by-step explanation:
Given as for trigonometric function :
tan²Ф =
Or, tanФ =
∵ tanФ =
So, =
So, Hypotenuse² = perpendicular² + base²
or, Hypotenuse² = ( )² + (
)²
Or, Hypotenuse² = 3 + 8 = 11
Or, Hypotenuse = ( )
Now SecФ =
or, SecФ = =
<u>Second Method</u>
Sec²Ф - tan²Ф = 1
Or, Sec²Ф = 1 + tan²Ф
or, Sec²Ф = 1 +
Or, Sec²Ф =
Or, SecФ =
Hence The value of SecФ is . Answer