Evalute cos0 tan0 + tan0 sin0 in terms of tan0.
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ak
Step-by-step explanation:
ok let me try I Know how to solve this
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Step-by-step explanation:
in my work, I used Φ instead of θ, but its just a variable
Trig Identities
cotΦ = cosΦ/sinΦ , tanΦ = sinΦ/cosΦ
cos2Φ + sin2Φ = 1, 2sinΦcosΦ = sinΦ =>
sinΦcosΦ = 1/2 (sin(2Φ)
1/sinΦ = cscΦ
cot2Φ = cos2Φ/sin2Φ
(cot2(theta) + 1) (tan theta)
=(cos2Φ/sin2Φ + 1 )(sinΦ/cosΦ) [multiple the tanΦ through]
=cosΦ/sinΦ + sinΦ/cosΦ [find common base, then add]
=cos2Φ + sin2Φ/ (sinΦcosΦ) [substitute with trig. identities]
= 1/(1/2 sin(2Φ)
= 2csc(2Φ)
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