
The expression tan 0 sec 0 (1 - sin2 0) / cos 0 simplifies to 16.11...
Verily the identity sec 0-cos 0-tan 0sin 0 To verily the identity, start with the more complicated side and transfomit to look ke the other side Choose the comect transformations and transform the expression at each step sec 0-cos 0 -cos0 tan Osin 0 Verify the identity sec 0-cos 0= tan 0 sin 0 To verify the identity, start with the more complicated side and transfo sec 0- cos 0 cos 0 Factor out the greatest common factor Apply the...
(a) If sec 0 = 5, find (a) tan 6 (b) cos (90° – 0) (c) sino (b) Prove by using Pythagorean identities sin? 6 - cos2 = 2 sin2 0-1
Simplify the following trigonometric expression tan(a) sec(0) - cos(e) sin(0) csc() seco) 1 + cos(20)
3 12 Smaller Triangle Larger Triangle sin = sin = cos = cos = tan 0= tan (= CSC = CSC = sec = sec = cot 8 = cot = Explain why the function values are the same. The triangles are similar so corresponding sides are proportional. The triangles are congruent so the trigonometric function values must be the same.
5. Simplify the following expression: tan(@)sin (20) 2 + cos (0) sec (-0)
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
PLEASE SHOW WORK!!!!!!
9) Find the value of the expression. a. cos arctan -- b. tan(arcsin(x)) = 10) From a point on a cliff 85 feet above water level an observer can see a ship. The angle of depression to the ship is 40. How far is the ship from the base of the cliff? sec? x 11) Verify the identity: -tan’x = tan x cotx 12) Find all solutions algebraically in the interval [0, 2T): sec? - 3 tan...
Establish the identity. sin (cot 0 + tan 8) = sec Write the left side in terms of sine and cosine. sino O Simplify the expression inside the parentheses from the previous step and write the result in terms of sine and cosine. sin (D) Simplify the expression from the previous step and write the result in terms of cose. The fraction from the previous step then simplifies to sec O using what? O A. Quotient Identity @ B. Cancellation...
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u ule exact value of the expression 1) cos? 30+ cos? 60 2) cot 45-tan 45 5-6 Use the given information to find the exact value 3) sin? 53 + cos2 53 4) cot 20 -tan 20 5) sin = , where is in quadrant 1. Find tan 6) tan 0 = - , where is in quadrant 4. Find sec 7-12 Verify the identity 7) tan sin cos 0 = sin? 8) tane = sine 9) tancos? +...
• Solve 6sin + 7 cos 0 = 1 for the following angles. . [0, 21) . any angle (i.e. a general solution) • Solve sec =1+tan @ for [0, 21). Hint: Use Squared IDs • If cos=- with <O< and tan B = .with <B<**, please do the following. Show prep work here (Triangle with sides labelled, Quadrant's CAST status if applies). • Find sin(0-B)