(. Solve using only identitres, Show all work. Do Not wse a calcu letor. Give exact answer, Simplify your answer. sin(2 Cos" ( to))

Q: Find: sin A 20 12 A 16

A:

Q: If sint = 4/5 and tis in the first quadrant, find cos(2t) O-7/25 O -9/25

A: Given: sint=45

Q: Solve the following trigonometric equation 2sin^(2)x-tanx=0

A: Explanation of the solution is given below...

Q: Give the answer to the trig function and the quadrant where the angle terminates. 47t sin 3 %3D

A:

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A:

Q: Find sin ? and tan ? if the terminal side of ? lies along the line y = −8x in QII.

A: Find sin ? and tan ? if the terminal side of ? lies along the line y = −8x in QII.

Q: Use given triangle to fill in the blank 5 Y3D 12 13 12 sin cos tan

A:

Q: Use the fact that 2(V6 + V2) cos- to find sin and cos 24 24

A: Given that the fact cos π12 = 146+2 To find the cos π24  and   sin π24

Q: In what quadrant will θ terminate if sin⁡θ and cos⁡θ are both negative?

A: We know that, In quadrant I, all six trigonometric ratios are positive. In quadrant II, sine and…

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A:

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A:

Q: Find sin (2)dr (hint: use a half-angle formula twice).

A: Note: sin2x=2sinxcosx  Cos2x=1-2sin^2(x) And sin^2(x)+cos^2(x)=1 by using these formulas we solve…

Q: Use a half-angle formula to find the exact value of cos3π/8.

A:

Q: Use the double angle identities to simplify the following expressions. 10sin(5x)cos(5x) Leave your…

A:

Q: In which quadrant does 0 lie if the following statements are true: cos 0 > 0 and csc 0 <0

A: cosθ &gt; 0 implies, θ is in the first quadrant or in the fourth quadrant. cosecθ &gt; 0 implies, θ…

Q: L{te?cos3t} .

A:

Q: Use the double angle formula to find the exact value of 2 cos² ETOO 1

A:

Q: Which of the following is TRUE if sin 3A = cos 6B, where 3A and 6B are complementary angles? * A + B…

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Q: Use the half-angle formula to simplify the given expression. 1 + cos 12x 2

A: The given expression is:1+cos12x2We need to simplify the above expression using half-angle formula.

Q: Evaluate sin(In æ) dæ .

A: To evaluate the given integral.

Q: Use a half-angle formula to rewrite the given expression so that it involves the sum or difference…

A: Topic: trigonometry

Q: Use the half-angle formulas to simplify the expression. 1- cos(x – 3) 2

A: We know that cos(2t)=cos2t-sin2t=2cos2t-1=1-2sin2t⇒2sin2t=1-cos(2t)⇒sin2t=1-cos2t2

Q: Evaluate without using a calculator, leaving answers in exact form.

A: Calculation:

Q: Solve the equation for æ if 0 < æ < 2. Answer exactly and separate answers using a comma. 4 cos æ +…

A:

Q: Find sin 75° without using a calculator. [? (V2+ V])

A:

Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: Find the sin of 60°. V3

A: In the given question, concept of trigonometric ratio is applied. Trigonometric Ratios The ratios of…

Q: Write the first expression in terms of the second if the terminal point determined by t is in the…

A: To findAn expression sec2tsin2t in terms of cos(t) if the terminal point determined by t is in any…

Q: Evaluate without using a calculator.     cos    -1 ( cos 7pi/4)

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Q: 11) sin-1 2.

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Q: If sint = 4/5 and tis in the first quadrant, find cos(2t) -7/25 -9/25 7/25 24/25 None of these

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Q: Use the cofunction identities to evaluate the expression without the aid of a calculator. sin? 39° +…

A: Given data is : sin239∘+sin251∘ To find  the value of sin239∘+sin251∘ without using calculator. Use…

Q: Evaluate the sin2θ, cos2θ, and tan2θ, where cosθ = 5/13, with θ in Quadrant IV.

A:

Q: Evaluate and draw picture  sin(4pi/3)

A: GIVEN DATA : Expression Sin4π3 TO FIND : Evaluate and draw the picture of the given expression Given…

Q: In simplest form, the sin A= the cos A and the tan A =! 12 16 22 :: :: :: 3 20

A:

Q: Use the triangle below to find sin 8. V5 3.

A: Given : A right triangle.

Q: Evaluate sin? xcos xdx .

A: To evaluate: ∫sin2x cos3x dx=∫sin2x cos2x cos x dx=∫sin2x (1-sin2x) cos x dx

Q: New Give the answer to the trig function and the quadrant where the angle terminates. sin- 6. -

A:

Q: Complete the half-angle identity. 1. sin x/2 = +/- 2. cos ?/2  = +/- 3. tzn y/2 = +/-

A: To complete the half angle indentity

Q: Evaluate the expression under the given conditions. cos(2?); sin(?) = − 7/25, ? in Quadrant III

A:

Q: Evaluate without using a calculator.     cos    -1 ( cos 7pi/6)

A: Given cos-1cos7π6

Q: If sec B = 2, find cos2 B.

A: We will find the value of cos^2 B  We know Cos B = 1 / Sec B

Q: Rewrite the expression as an equivalent expression that does not contain powers of trigonometric…

A: (i) The given trigonometric expression is

Q: Determine the angle x if it lies on the interval [0,2 pi] sin a – 8 cos? (:) + 7= 0

A:

Q: What is cos A, if sin 2A V85 , and 2A is an angle in the second quadrant? 11 22 17 22 17 17 22 no…

A: The given data is: sin2A=8511, and 2A is an angle in the second quadrant To find the value of cosA.

Q: After evaluation, if J tan *3rdr=-tan'3r - ( ? ) tan3r +r + C, then find the missing (?) term. ® --…

A: I have appended the formula used in the solution part.

Q: Use a right triangle to simplify the given expression. Assume x 7 0. cos 1sec-1x 2

A: Inverse trigonometric function:     cos(sec-1x2)We know cos(cos-11x2)

Q: 3 If sin (F) = =, what is cos (G)? H

A:

Q: How do you solve this?

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.