Lêt a bê an angle in quadrant 4 with cos(a) 3. Let 6 bé thể ânglè in quadrant 1 with cos(0) 25. Compute sin(a + 117 125 125

Q: Find cos (a-B)if cos a = and tan B=-2 with a in quadrant 1 and Bnot in quadrant 2.

A:

Q: Write sin A as

A: This question is about trigonometric identites

Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: Express as a single sine function: 10 cos (100t - 9°) + 10 sin (100t + 19°)

A: Given the given function is 10 cos100t - 9° + 10 sin100t + 19° Apply formula cosa-b=cosa cosb + sina…

Q: Determine the reference angle of θ = 31π/6 and find the value of sin²θ + cos²θ. Kindly note that…

A: Given, θ = 31π/6 Where θ lies in 3rd quadrant where sinθ & cosθ is negative

Q: Simplify sin(u – T) to a single trig function using the sum or difference of angles identity.

A:

Q: Explain how to find the value of cos( - 45°) using even–odd properties.

A: We have to find the value of cos( - 45°).

Q: sin10 x cos x dx.

A:

Q: Show that cosine is an even function and sine is odd.

A: We have to prove that f(x)=cos(x)  is an even function and g(x)=sin(x) is even function .