Suppose sin(θ)=x. Find the expressions in terms of x for the other trig functions evaluated at θ. Draw a right triangle with this angle to show your work.

Q: 2. At what point greatest angle. on the line y = b does the line segment from (0,0) to ( a,0)…

A: To find the point on the line y = b  that subtend the greatest angle on the line segment from (0, 0)…

Q: Find the other five functions of the acute angle A

A:

Q: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

A: show that r = cos 2θ is symmetrical with respect to the horizontal axis.

Q: Use a straightedge to draw an x- and y-axis. Use uniform lengths and mark (and label) your x-axis…

A: Given

Q: Make a diagram of the unit circle with an angle e in QI and its supplement 180° - e in QII. Label…

A: I am attaching image so that you understand each and every step.

Q: L Find the six trigonometric function of the following 2)(4) 1) (4, 4) Ans. Ans.

A:

Q: terminal

A: we have to use the given point on the terminal side of an angle in standard position to evaluate the…

Q: 6. tan A = 0.5

A: We use Trigonometry ratio

Q: Find the Cartesian equation of the image of the line x = 2 under the mappingz → sin(z). Sketch…

A:

Q: Find the other five functions of the acute angle A

A: sinA=37 as we know, sin2A+cos2A=1 372+cos2A=1 949+cos2A=1 cos2A=1-949 cos2A=49-949 cos2A=4049…

Q: For the point (-9, 5) find (a) x,y, and r (b) sinθ and sec θ

A:

Q: 19. Find the amplitude of each trig function below:19a. 2 sin(3x), 19b. 3 cos(5x), 19c. −7 cos(4x)

A: The objective of this question is to find the amplitude of the given trigonometric functions. The…

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

A: Our Aim is to simplify cos (x-π)-(i) to a single trigonometric function usingthe sum or difference…

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.