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Your answer must be in EXACT form: it cannot contain decimals if theta = 11pi / 4 then. (see attached photo)?
(1 pt) Evaluate the following expressions.
Note: Your answer must be in EXACT form: it cannot contain decimals. It must be either an integer or a fraction. If the answer involves a square root write it as sqrt . For instance, the square root of 2 should be written as sqrt(2).
HOW DO YOU DO THIS SO THE ANSWR IS IN EXACT FORM WITH NO DECIMALS!!???
please help me thanks!
1 Answer
- DWReadLv 73 years ago
θ = 11π/4 = π + 7π/4
sinθ = sin(π + 7π/4)
= sinπ·cos(7π/4) + cosπ·sin(7π/4)
= 0·(√2/2) + (-1)(-√2/2)
= √2/2
:::::
cosθ = cos(π + 7π/4)
= cosπ·cos(7π/4) - sinπ·sin(7π/4)
= (-1)(√2/2) - 0(-√2/2)
= -√2/2
:::::
tanθ = sinθ/cosθ = -1
:::::
secθ = 1/cosθ = -√2
