Suppose theta is an angle in the standard position whose terminal side is in Quadrant 1 and sin theta = S4/S5. find the exact values of the five remaining trig functions of theta

Step-by-step explanation:

step 1

Find the

we know that

we have

therefore

step 2

Find the

we know that

we have

substitute

square root both sides

Remember that the angle theta is in quadrant I

so

The value of cosine of angle theta is positive

step 3

Find the

we know that

we have

therefore

step 4

Find the value of  

we know that

we have

substitute the values

step 5

Find the value of  

we know that

we have

therefore

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

multiply each one by 3.14

step-by-step explanation: