# maths---urgently needed

posted by .

range of
sin(siny) +cos(siny)

• maths---urgently needed -

sin y can take on values between -1 and 1.

For any value of siny between -1 and 1, the range of
sin(siny) + cosine(siny) is between
-sqrt2 and +sqrt2.
Extreme values of sin(siny) + cos(siny) occur where sin(siny) = cos(siny)
siny = +or- (sqrt2)/2

## Similar Questions

1. ### Pre-Calculus

How can the following two identities be verified?
2. ### Math

Find y'(x) when cos y - y^2 = 8 a) -siny - 2y b) - (1/sin y - 2y) c) 0 d) - (8/cos y - y) So if I implicitly differentiate: y'(x) = -sin(y) - 2y y' = 0 Am I right to say that there's nothing more you can do to this and pick C?
3. ### Trig

Sin(X-y)sin(x+y)=sin^2 x - sin^2 y work on one side only...so i worked on the right =(sinx-siny)(sinx+siny) does that equal sin(x-y)sin(x+y)?
4. ### trig!!

Sin(X-y)sin(x+y)=sin^2 x - sin^2 y work on one side only...so i worked on the right =(sinx-siny)(sinx+siny) does that equal sin(x-y)sin(x+y)?
5. ### trig

Okay, I've been getting some of these, but I can't seem to verify this identity... any help?
6. ### Trigonometry Help

Simplify: sin(x-y)cosy+cos(x-y)siny = (sinxcosy-cosxsiny)cosy+(cosxcosy+sinxsiny)siny = ?
7. ### pre cal

Verify each identity sin^x+siny/sinx-siny=tan(x+y/2) (times) cot(x-y/2)
8. ### maths

find the range of sin(siny)+cos(siny)
9. ### Math-Trigonometry

Show that if x, y, and z are consecutive terms of an arithmetic sequence, and tan y is defined, then (sin x + sin y + sin z) / (cos x + cos y + cos z) = tan y. So I tried letting x = y-k (since x,y,z are consecutive terms of an arithmetic …
10. ### Math

Suppose f(x) = sin(pi*cosx) On any interval where the inverse function y = f –1(x) exists, the derivative of f –1(x) with respect to x is: a)-1/(cos(pi*cosx)), where x and y are related by the equation (satisfy the equation) x=sin(pi*cosy) …

More Similar Questions