5.1 - 5.2
5.3 - 5.4
5.5. - 5.6
5.7 - 5.8
Bonus
100
What is 'X', in the question, tanX= 4/7 to the nearest degree?
what is 30 degrees
100
State all the angles between 0 degrees and 360 degrees that make the following equation true. Sin45 = Sin ____
135
100
prove the identity using trig ratios (y,r, and x ) tan theta = sin theta/ cos theta
y/x = tan theta LS = RS
100
Determine unknown side length(j) to the nearest tenth. k = 7.7, l = 11.3,
j = 15.5
100
prove using trig identities (x,y,r): (tan theta )(cos theta ) = sin theta
y/r= y/r
200
What are the formulas for the reciprocal trig ratios?
cesant= 1/sin secant= 1/cos cotangent= 1/tan
200
Point (2,-3) lies on the terminal arm of theta in standard position. Find theta and the related acute angle
Related acute angle= 56 degrees Theta= 30 degrees
200
Is it possible to sketch: a = 7.3 m, b = 14.6 m,
Yes. A = 30 degrees, a = 7.3 m B = 90 degrees , b = 14,6 m C = 60 degrees , c = 12.6 m
200
Determine the value of x to the nearest cm and theta to the nearest degree. Diagram will be given.
15cm
200
Using exact value, show that sin^2 theta + cos^2 theta= 1 for the angle: 45 degrees
(√2/2)^2 + (√2/2)^2 = 1
300
What is 2cos= √3
30 degrees
300
Find the exact value: tan(-210)
Tan 30 = -1 ---- √3
300
prove the identity : sin^2 theta + cos ^2 theta = 1
r^2 = r^2 =1 LS = RS
300
25/sin 100 = x/ sin 40 USING SINE LAW FIND X
What is 16
300
Fill in the blanks. The ambiguous case of the sine law occurs when you know _________.
The ambiguous case of the sine law occurs when you know 2 side lengths and an angle. (SSA)
400
Suppose that (theta) is an acute angle in a right triangle and sec= 5√3 /4. Find cos, sin and cot.
cos= 4√3/ 15 sin= √177/ 15 cot= 4√59/ 59
400
The point (6,-8) lies on the terminal arm of theta. state all 3 trig ratios, the related acute angle, and theta.
sin theta = -8/10 cos theta = 6/10 tan theta = -8/6 related acute angle= 53 degrees theta= 307 degrees
400
write using sin and cos AND state restrictions csc^2 theta - sec^2 theta
restrictions: 0,90,180,270,360 cos^2theta-sin^2 theta _________________________ sin^2 theta cos^2 theta
400
As a project, a group of students were asked to determine the altitude, h, of a promotional blimp. The students' measurements are shown in the sketch below. Determine h to the nearest tenth of a metre.
520.5m
400
How do you know when to use sine law or cosine law?
Sine law- SSA or ASA or AAS Cosine law- SAS or SSS
500
In right triangle PQR, the hypoteneuse, r, is 117 cm and tanP= 0.51. Calculate the side lengths of p and q and the interior angles to the nearest degrees.
p= 53 cm q= 104 cm Angle P is 27 degrees Angle Q is 63 degrees
500
given cos theta = -5/12, where theta is greater than 0 and less than 360 degrees, in which quadrant would the terminal arm lie?
Quadrant 2 or 3
500
Prove the identity: (factor) 1 + 1 =2sec^2theta _________ _____________ 1+sin theta 1-sin theta
2/cos^2 theta
500
Two spotlights, one blue and the other white, are placed 6.0 m apart on a track on the ceiling of a ballroom. A stationary observer standing on the ballroom floor notices that the angle of elevation is 45 degrees to the blue spotlight and 70 degrees to the white one. How high, to the nearest tenth of a metre, is the ceiling of the ballroom?
4.4 m
500
Determine the exact value of: (sin45 degrees)(cos45 degrees) + (sin30 degrees)(sin60 degrees)
2 + √3 --------- 4
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