If f(\theta)=\csc\theta and f(a)=2, find the exact value of: a) f(-a)ZS

Chaya Galloway

Chaya Galloway

Answered question

2021-08-22

If f(θ)=cscθ and f(a)=2, find the exact value of:
a) f(a)
b) f(a)+f(a+2π)+f(a+4π)

Answer & Explanation

un4t5o4v

un4t5o4v

Skilled2021-08-23Added 105 answers

Step 1
Part (a)
Now,
f(a)=csc(a)
=csc(a)
=f(a)
=2
Step 2
Part (b)
Now,
f(a)+f(a+2π)+f(a+4π)=csc(a)+csc(a+2π)+csc(a+4π)
=csc(a)+csc(a)+csc(a)+csc(a)
=3csc(a)
=3f(a)
=3(2)
=6

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