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This Question: 3 pts 4 of 10 (1 complete) Prove the identity 1 + cos 90...
Verify the following identity. sin? x + cos2x = cos? To transform the left side into the right side, should be changed to and the left side simplified. Enter your answer in the answer box. Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1 40 sin?x cos? 40 sin’x cos2x = 0 Enter your answer in the answer box. Express the given product as a sum...
Establish the identity. 1 - sin 0 cos e + COS 0 1 - sin e = 2 sec Write the left side of the expression with a common denominator. Do not expand the numerator. cos (1 - sin o) Expand and simplify the numerator by rewriting without any parentheses. + cos20 cos (1 - sin o) Apply an appropriate Pythagorean Identity to simplify the numerator of the expression from the previous step. cos (1 - sin o) (Do not...
Use an identity to write the expression as a single trigonometric function. 1 - cos 86° sin 86° 1 o cos 86° sin 86° 11 (Simplify your answer.)
QUESTION 3 Using the appropriate identity below, find the value of cos cos( 5 – B).ca (Angles are measured in radians.) Formula Sheet Sum & Difference Identities Half Angle Formulas CON 1 + cos(0) 2 cos(0) 2 sin - + cos(a+B) cos(a) cos(8) – sin(a) sin() cos(a-B) cos(a) cos(8) + sin(a) sin() sin(a+b) sin(a) cos(8) + cos(a) sin(8) sin(a -B) sin(a) cow (8) - cos(a) sin() tan(a)tan(B) tan(a+B) 1 - tan(a)tan (8) tan(a)-tan(8) tan(a-) 1+tan(Q) tan() Power Reduction Formulas tan...
please answer 1,2 &3! 1. 2. 3. Rewrite the following expression using a double-angle identity. 2 cos 2150 - 1 2 cos 2150 -1 = (Type an exact answer in simplified form. Use integers or fractions for any numbers in the expression.) 15 Given that sin 0 = - and cos 0 <0, determine sin (20), cos (20) and tan (20). 17 sin (20) = (Type a simplified fraction.) Complete the following statement. tan= 1 - cos 20 so tan 210x...
DETAILS MCKTRIG8 5.3.051. (-/1 Points] Prove the following identity. sin 30 -3 sine 4 sino We begin by writing the left side of the equation as the sine of a sum so that we can use a Sum Formula to expand. We can then use the Double-Angle Formulas to replace any terms with double angles. After expanding out the products, we can use a Pythagorean Identity to write the expression in terms of sines. sin 30 = sin + sin...
Quiz: Quiz #7 Sections 6.1 - 6.5 This Question: 1 pt 10 of 15 (12 complete) Establish the identity. (1 + tan? e) cos? e = 1 Rewrite the left side expression by expanding the product. (Do not simplify.) Apply the appropriate quotient identity and/or the appropriate reciprocal identity to the expression in the previous ste cose+ ( cosae Simplify the expression from the previous step by canceling the common factors. cos2e+ Simplify the expression from the previous step by...
This Question: 5 pts 9 of 20 (12 complete) Use identities to find values of the sine and cosine functions for the angle measure. 0, given that cos20 = 656 and o®<o<90° sino = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize all denominators.) cos8= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression Rationalize all denominators.) This Question: 5 pts 10 of 20...
This Question: 3 pts 13 of 26 (14 complete) Complete the identity. (sin x + cos x)2 1 + 2 sin x cos x OA. O OB. 1- sinx OC. - Sec OD. 1
This Test: 45 pt 2 of 45 (0 s Question: 1 pt cos (2x) cos (5x)+ sin (2x) sin (5x)-2 To the right, half of an identity and the graph of this half are given Use the graph to make a conjecture as to what the right side of the identity should be Then prove the conjecture The graphis shown in a(-2x, 2x, x/2]by I-2,2, 1] viewing window O sin (3x) 。cos(3x) O -cos (3x) O sin(3x Prove your conjecture...