Establish the identity.tan2x = sec2x - sin2x - cos2x

What will be an ideal response?


tan2 x = sec2 x - 1 = sec2 x - (sin2 x + cos2 x) = sec2 x - sin2 x - cos2 x.

Mathematics

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Solve the equation. Express radicals in simplest form.x2 + 4 = 13

A. 6.5 B. ±3 C. ±2 D. 3

Mathematics

Solve the problem.In flying the 77 miles from Champaign to Peoria, a student pilot sets a heading that is 10° off course and maintains an average speed of 96 miles per hour. After 15 minutes, the instructor notices the course error and tells the student to correct his heading. Through what angle will the plane move to correct the heading and how many miles away is Peoria when the plane turns?

A. 165.5°; 68.45 mi B. 165.5°; 53.53 mi C. 14.5°; 68.45 mi D. 14.5°; 53.53 mi

Mathematics

Use a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function.cos(tan-1 x)

A.
B.
C.
D. x

Mathematics

Solve the problem.In an electric circuit, the electromotive force is defined as V = cos 2?t, where t is time in seconds. Solve the equation for t.

A. t =  arccos V
B. t =  cos V
C. t = 2? arccos V
D. t = 2? cos V

Mathematics