Wednesday

April 1, 2015

April 1, 2015

Posted by **Anonymous** on Sunday, October 17, 2010 at 2:05am.

as 15 in the half angle formula used for calculating the value of sin 7.5 ?

- trig -
**Reiny**, Sunday, October 17, 2010 at 8:41amUnless you have found sin15 or cos15 before, and it has become part of your trig repertoire , you will have to do it twice

since you must know that cos 30 = √3/2

and using

cos 2A = 2cos^2 A - 1 , let 2A = 30

cos30 = 2cos^2 15 - 1

solving this for cos 15 I got √(√3 + 2)/2

now use the other expansion for cos 2A

cos 2A = 1 - 2sin^2 A

cos 15 = 1 - 2sin^2 7.5

this gave me

2sin^2 7.5 = 1 - √(√3 + 2)/2

sin 7.5 = √[2 - √(√3 + 2) ]/2

you can check it with sin 7.5 on your calculator, it is correct.

**Answer this Question**

**Related Questions**

Trig - How do i find the exact value of sin 15 using the half angle formula

Trigonometry - Identities - If tan 2x = - 24/7, where 90 degrees < x < 180...

trig - find the exact value by using the appropriate half-angle identity: sin(...

trig - Solving Trig Functions: How Do You Solve For Sin 7.5 Using Half-Angle and...

trig - Use a half-angle formula to find the exact value of cos 5ð/12

trig - use a half angle formula to find the exact value of cos 75 degree

Trig - Use the half angle formula to find the exact value of tan 7 pie/8

Math - Use a half angle formula to determine the exact value of sin 7(pi)/12.

trig - I asked below but I guess it was not understood what I was asking. I'll ...

Trigonometry - use the appropriate trig identity (sum and difference, half angle...