ai-If-is-the-angle-in-the-fourth-quadrant-satisfying-the-equation-cot-2-4-find-the-value-of-the-function-f-1-5-sec-cosec-aii-Prove-that-1-cos-1-c

Question Number 18069 by tawa tawa last updated on 14/Jul/17

ai) If θ is the angle in the fourth quadrant satisfying the equation : \cot^{2} θ = 4

find the value of the function : f (θ) = \frac{1}{\sqrt{5}} (\sec θ - cosec θ)

aii) Prove that : \sqrt{\frac{1 + \cos θ}{1 - \cos θ}} = cosec θ + \cot θ, if \cos θ \neq 1

(b) Let R be a positive real number and let α satisfy the inequality

0 < α < 360 . express the function 2 \sin θ + \cos θ in the form Rsin (θ + α) .

Hence, find the value of θ between 0 and 360 which satisfy the equation .

3 \cos θ + 6 \sin θ = 1

Commented by tawa tawa last updated on 15/Jul/17

please help .