# trig

posted by .

in proving trigonometric identities if sec theta - tan theta sin theta is equal to cos theta. what is the correct answer?

• trig -

secØ - tanØsinØ = cosØ

LS (left side)
= 1/cosØ - (sinØ/cosØ)sinØ
= (1 - sin^2 Ø)/cosØ
= cos^2 Ø/cosØ
= cosØ
= RS

## Similar Questions

1. ### Calculus

I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure …
2. ### Trigonometry

I don't understand how I'm supposed set the problem up or what theta is... Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sec theta …
3. ### trig

in proving trigonometric identities if cot theta sin theta = cos theta. what is the correct answer?
4. ### trig

in proving trigonometric identities if 1 + sin^2 theta is equal to 2 sin^2 theta + cos^2 theta. what is the correct answer?
5. ### trig

what is the correct answer in proving trigonometric identities if tan theta/sin theta = sec theta
6. ### trig

what is the correct answer in proving trigonometric identities if tan theta / sin theta = sec theta
7. ### trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.
8. ### Trigonometry

Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank …
9. ### Trigonometry

Prove the following identities: 1. (tan theta - sin theta)^2 + (1-cos theta)^2 = (1-sec theta) ^2 2. (1-2cos^2 theta) / sin theta cos theta = tan theta - cot theta 3. (sin theta + cos theta ) ^2 + (sin theta - cos theta ) ^2 = 2 Thank …
10. ### Precalculus

Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment …

More Similar Questions