Sunday

September 21, 2014

September 21, 2014

Posted by **Anonymous** on Saturday, June 15, 2013 at 8:41am.

- trig -
**MathMate**, Saturday, June 15, 2013 at 11:03amSince (5,12,13) is a Pythagorean triplet, tan(θ)=5/12.

Mathematically, we solve it by:

Divide by the right hand side:

(5/13)sin(θ)+(12/13)cos(θ)=1

Since (5/13)²+(12/13)²=1, we can put

5/13=sin(φ)

12/13=cos(φ)

so

sin(φ)sin(θ)+cos(φ)cos(&theta)=1

cos(θ-φ)=1

θ-φ=0

θ=φ=asin(5/13).

**Answer this Question**

**Related Questions**

math trigonometry - if 5sin theta + 12cos theta is equal to 13 find the value of...

trig - If sin theta is equal to 5/13 and theta is an angle in quadrant II find ...

trig - h t t p : / / i m g 4 0 . i m a g e s h a c k . u s / c o n t e n t . p h...

Trigonometry - Thank you STEVE!!!!! Suppose that Cos (theta) = 1/square root 2 ...

Trig - 1. Establish the identity: sin(theta+3pi/2)=-cos(theta) 2. Find the exact...

trig - If tan theta = sin theta, and theta is greater than or equal to 0 and ...

trig - Let (theta) be an angle in quadrant II such that csc(theta)=8/5 Find the ...

trig - Let (theta) be an angle in quadrant II such that csc(theta)=8/5 Find the ...

easy trig - If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the ...

simple trig - If sin(theta)=[sqrt(70)]/7 and theta is in Quadrant two, find the ...