4. An angle 0 drawn in standard position terminates in the second quadrant. If sin 0 = -, then which of the 7 following is the value of cos 0?

Q: 4. Apply half-angle formula to find a. cos 15° b. sin 15° C. COS

A: Given: cos15∘, sin15∘, cos5π8 We know that cos2x=cos2x-sin2x…

Q: 7. Given an angle 0 with < 0 <n and sin 0 = 4/5, find the exact values of (i) cos 0 (ii) cos 20…

A:

Q: Find the exact value of sin 20, cos 20, and tan 20 using the double-angle formulas. cos 0 = 5 13 S…

A: Given cosθ=513We know that sin2θ+cos2θ=1sin2θ=1-5132        =1-25169        =144169Sinθ=-1213 (As…

Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

A:

Q: Find tan 8, csc 0, and cos 0, where is the angle shown in the Give exact values, not decimal…

A: Given query is to find indicated trigonometric functions.

Q: If sin θ = 5/13 and θ, lies in quadrant II, find the exact value of cos 2θ.

A:

Q: Suppose that sin α = 12/13 for a quadrant II angle α and sin β = 3/5 for a quadrant I angle β. Find…

A: Given,  sin α = 12/13                [angle α is in a quadrant II]  sin β = 3/5…

Q: Find the exact values of sin 20, cos 20, tan 20 and the quadrant in which 20 lies. tan 0=,0 is in…

A:

Q: Find the exact value of the half-angle. 4. sin 0 =-- where se <2T Find sin 이2

A: Given that sin(theta)= -4/5 and find sin(theta/2). Here 3π/2&lt;=theta&lt;=2π( here theta in the…

Q: If  sin(?) =  9 41  and  tan(?) = −  9 40 ,  find  sec(?).

A:

Q: 1. Given that tan 0 , and cos 0 > 0, find sin 20, cos 20, and tan 20.

A:

Q: 2. Which set of primary trigonometric ratios is correct for the angle 225°? a. sin 225° = 1 cos 225°…

A:

Q: 41 Compute the exact value of cos 841 ()- Suppose that is an angle in quadrant 1 and that cos y cos)…

A: Answer

Q: Suppose cos ? =15/17 and ? lies in the 4th quadrant. Choose one of those ways to find sin ?.

A: Solution is in step 2

Q: 12. Find tane, given that sin 0 =,and 0 is in QII. b.-3 a.- d.3 3

A: Given that sinθ = 1/2, and θ is in quadrant II. we know that sin(180-θ)=sinθ if θ is in II quadrant.…

Q: Use the given information to find the exact value of the expression. cos θ = 15/17, θ lies in…

A: Answer(a)

Q: 8. and If sin a =- 17 cos ß = for a second-quadrant angle a and a third-quadrant angle ß, find the…

A: solution is given below..

Q: 7. Find the maximum and minimum values of the expression 2cos 0-4 sin0. Hence, determine the angles…

A: Given function can be written as…

Q: To find  sin(cos−1(9/41))

A: We have, sincos-1941 Let us consider that, cos-1941=θcosθ=941           ⋯⋯1

Q: 3 = -- and A is a negative acute angle. 4 What is the value of cos - A if tan A = -

A:

Q: 15 If the terminal side of angle 0 goes through the point (, -) on the unit circle, then what is…

A: The terminal side of an anglegoes through the pointon the unit circle. Now if (x, y) is any point on…

Q: 2. If sin 0 = – and 0 E QII, find cos 0. Give an exact answer. 3

A:

Q: 6. Find sec 8, given Ihat tan e 3 and e is in quadrant IlI. %3D

A: We have given that  tanθ = 73 and θ is in 3rd quadrant. Use the following trigonometric property:…

Q: Suppose, for a given angle 0, we know that tan(0) = -5/3 and cos(0) > O. Find the exact value of…

A:

Q: 2. Demonstrate that the double angle formula for sin2x is derived from the compound angle formula…

A: Double angle formula for sin2x is sin2x=2sinxcosx. and compound angle formula for sin(a+b) is…

Q: Find the exact value of sin 20, cos 20, tan 20, and the quadrant in which 20 lies. 9. sin 0 = , 0 in…

A: To find the exact value of sin 2θ, cos 2θ, tan 2θ, and the quadrant in which 2θ lies. sin θ=45, θ in…

Q: 5. When sin A = -– and A lies in Quadrant III and cos B = - Quadrant II, what is tan(A+ B)? - and B…

A: First find out the values of tanA and tanB than use the trigonometric formula of sum of angles and…

Q: 2 then which of the 5 An angle e drawn in standard position terminates in the fourth quadrant. If…

A:

Q: If sin 8 = - and e terminates in Quadrant IV, what is the value of sec 8 tan 8? (a) –2v3 (b) - (1) -

A: We know

Q: 2. Find the exact value of sin 20 and cos 20 if sin 0 = and angle 0 lies in quadrant II.

A:

Q: If the cos 0 = and tan 0 = , 5 13 what is sin 0? 12 %3D 5 sin 0 = %3D Enter

A: Proceed as shown below

Q: 9. If the sin (x +20°) = cos x, what is the measure angle x? %3D

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a…

Q: Find all the angles that satisfy the given equations 5. sin 0 = - 6. cos 0 = %3D

A:

Q: 6 If csc B =6, e in Q2, find Sin(20) with

A:

Q: 3. Suppose cos(0) %3D a. There are two possible angle measures 0 within the interval from 0 to 2r.…

A:

Q: If the terminal side of B contains the point (6, 8), what is the exact value of sin (8 7/2 10 V2 10…

A:

Q: Suppose 0 is an angle such that cos(0) If 0 < 0 < T, then cos 5 2 and sin ) If п <0 < 2т, then cos 2…

A:

Q: If 0 be a positive acute angle satisfying cos? 0 + cos* 0 = 1 then the value of tan² 0 + tan“ 0 is

A: Given:       To determine:

Q: 4. If v3cot0 = 2cos0, then evaluate sin?0 – cos20 |- %3D

A: See the details solution below

Q: 4 The value of [ cos* 30 sin° 60 de is

A: We need to calculate the given definite integral for which we will use the substitution.

Q: 17. Show that if tan e = c and 0 < e <7/2, then cos e = 1//1+c2. Hint: Draw a right triangle whose…

A:

Q: 2. If cos 4A = 23/49, find tan A %3D

A:

Q: Suppose that 0 is an angle in standard position whose terminal side intersects the unit circle at 9.…

A:

Q: 12 If tan(@) 0Sos, then %3D sin(0) equals cos(0) equals sec(A) eguals

A:

Q: If cos 0 = and 0 is acute, then cos 20 is

A:

Q: If cos(@) 13 with 0 in Quadrant I, what is sin(8)? 18 %3D sin(0) = %3D

A: Given that cosθ=1318 and θlies in first quadrant.

Q: 7. If sin 0 and 0 is in the first quadrant, find cos 20. %3D

A: The solution is given below:

Q: 30° If 15° = then use the half-angle formulas to determine the exact value of sin(15°) cos (15°)

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.