Find the unit vector that's in the same direction as w=20i-21j

Find the unit vector that's in the same direction as w=20i-21j

Find the components of vector u with a magnitude of 10 and a direction angle of ∅=54°

Find the magnitude and direction angle of v=-7i+3j

Two triangles share a common side. The lengths of the sides of the first triangle are in the ratio 5:6:7, while those of the second are in the ratio 4:9:11. If the lengths of all six sides are integers,...

A meteorologist of a weather bureau sights a cloud base. To measure its height, he positions the projector at a distance of 368m from the detector. The angle of elevation of the cloud base from the...

A television station uses a helicopter and takes aerial photos of the traffic along a busy road busy in Magsaysay Avenue. During one particular day, the angle of depression of the helicopter to the...

When an analog clock reads 3:15, what's the angle(in degrees) between the hour hand and the minute hand?

The lengths of all 3 sides of a triangle are increased by 40%. Find the percent increase in the area of the triangle.

cos(x+y) if sinx=12/13, cosx=5/13, siny=8/17, and cosy=15/17

sin(x-y) if sinx=7/25, cosx=24/25, siny=3/5, and cosy=4/5

Solve the trig equation below. Make sure to give all possible answers. (Any and all angles are in degrees) sin∅ = -1

Solve the trig equation below. Make sure to give all possible answers. (Any and all angles are in degrees) 2cosα = √3

Solve for angle x. https://i.imgsafe.org/43e786f156.jpg (This web link features a diagram to assist with the problem) Can you please include the process of how to solve...

Tan = -2

An isosceles triangle has two sides that are 10 cm long. The angle between the two sides is x. A line segment bisects one of the equal angles and ends at the opposite side. Find an expression...

a) Find an expression for the area of the regular pentagon. b) Determine the area of a regular n-gon. https://i.imgsafe.org/43b894a5b0.png (The web link features a diagram...

It is given that f(x)= a cos(bx)+c , where a,b,c are integers.The maximum value of f is 11,the minimum value of f is 3 and the period of f is 72degree. Find the value of a,b,c.

I would greatly appreciate an explanation so I can understand how to solve. I don't want just the answer. Thank you for your help.

An acute angle x is such that sinx=p. Given that sin2x=2sinxcosx ,find an expression,in terms of p, for cosec 2x.

The diagram shows part of the graph y=p+3tan3x passing through the point (-pie/12 , -5) ,(0 , p) and (q ,1). Find the value of p and q.

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