How does -98(1/(7tan(x/2)+7)) become -14sinx/(1-cosx+sinx)... Please show a step

Question

How does -98(1/(7tan(x/2)+7)) become -14sinx/(1-cosx+sinx)... Please show a step by step explanation using the identity of tan(x/2) = 1-cosx/(sinx)! Thank you!

An integrand with trigonometric functions in the numerator and denominator can often be converted to a rational integrand using the substitute Evaluate Make another substitution. Let v = u + 7. This means that dv = du. Use this substitution to write the integral in terms of v. Evaluate this integral. Recall that v = u + 7. Rewrite the result in terms of u. Next recall that u = 7 tan (x / 2). Rewrite the result in terms of x. Note that through the use of the identity tan (x/2) = 1 - cos x / sin x and simplifying constants, the previous result can be rewritten as follows. Therefore,

Explanation / Answer

-98(1/[7({1-cosx}/sinx)+7] = -98(sinx/[7-7cosx+7sinx] = -14sinx/[1-cosx+sinx]

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.