cos4 (theta)− sin4 (theta)= 2 cos2 (theta)− 1

Q: true or false? (same answer) sin( 5π/6) = 1/2 and  arcsin( 1/2) = 5π/6  sin−1 x =1 sin x

A: True

Q: Simplify each expression by first substituting values from the table of exact values and thensimplif...

A: We have to simplify tan45°+tan60°2 We know that tan45°=1 and tan60°=3 Putting these values in given ...

Q: Prove the identity. 3 sin(x - y) 3 tan x - 3 tan y = cos y cos x

A:

Q: 8. A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of thesurface area of t...

A: A 5 cm cube is cut into as many 1 cm cubes as possible. Length of an edge of larger cube is 5 cm and...

Q: How do I prove the identity?

A: Given,            1-12sin2t=sin3t+cos3tsint+cost

Q: If a = 150 inches, b = 52 inches, and C = 60°, find c. (Round your answer to the nearest whole numbe...

A:

Q: Sketch the vector v = 4i − 6j

A:

Q: Write the expression in rectangular form, x+yi, and in exponential form, re" 3x 3x cos +i sin 8

A: Consider             (6(cos(3π8+isin(3π8))4= (6)4ei43π8=1296 ei3π2 which is in  exponential form    ...

Q: 14) In triangle ABC, angle C is a right angle. Find the measure of side a if the measure of angle A ...

A:

Q: This question is not an accredited question

A: to write an equation of trigonometry graph we should know the general form of sine or cosine curve  ...

Q: How do you convert from decimal degrees to degrees and minutes?

A: we have to tell that how do we convert from decimal degrees to degrees and minutes.

Q: Verify using proofs and rules

A: Given: Verify the identity sin3xsin2x=2cosx-12secx for verifying given identity we solve left hand s...

Q: Prove that the following identity is true.sec ? + 1 / tan ? = tan ? / sec ? − 1

A:

Q: Find exact value of sin(B/2) beta/2

A:

Q: Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one nu...

A: The given trigonometry  expression can be expressed as difference formula of tan angle which is give...

Q: Use the given conditions: sin(u)= 7/25, pi/2<u<piFind the exact values of sin(u/2), cos(u/2), ...

A:

Q: Determine if the statement is possible for some real number z.     cosec 0 =z

A: The given statement  is cosec 0=z. First write  the term cosec 0 in terms if sin 0. cosec 0=1sin 0=1...

Q: Find a vector v whose magnitude is 6 and whose component in the i direction is four times the compon...

A:

Q: Prove the following idenity 2sin4 x+2sin2 x cos2 x= 1 - cos2x

A:

Q: An observer on the ground sites in plane at an angle of elevation of 41.2 degree. At the same time, ...

A:

Q: Please show the work in detail

A: GIven : (1 + cot2(x)) sin2(x)

Q: Find the exact value of the expression. cos(sin": V+ cot-1 V3)

A:

Q: A man invests $3000 in an account that pays 8.5% interest per year, compounded quarterly. (a) Find t...

A: Consider the formula for compound interest: A=P1+rnnt Where, A=AmountP=Principal amountr=Rate of int...

Q: Find the exact value of sin 2(theta) if tan(theta) = −1/2 with theta in QII.

A: To find value of sin2θ Given tanθ=-12 and θ lies in II quadrant

Q: Verify the identity. --1+ tan? y 1- sin? y Use a Pythagorean Identity in the denominator, and then u...

A:

Q: ??

A:

Q: Simplify each expression by first substituting values from the table of exact values and thensimplif...

A: 5sin260°

Q: Question 1  Evaluate the following inverse trigonometric functions  arcsec(√2)  arcsin(−1)  arccot(...

A: Givensec-12=π4sec-12=0.78539...sec-12=45°

Q: Find the exact value of cos(a+B)

A: Given: sinα=13, cosβ=-13; π2<α<π, π<β<3π2 we know that cosA+B=cosAcosB-sinAsinB         ...

Q: Instructions: Adding and subtracting radicals

A: given 26(8-43)open the bracket then multiply=2x86-2x46x3

Q: need help

A: Function that we use f(x)=A cos BxA is the amplitude =maximum-minimum2Period(time to reach fro m one...

Q: verify the identity    2cos2(theta/2)=sin2theta/1-costheta Show your work

A:

Q: sin x + cos x = 1- sin x cos x sin x + cos x Factor the numerator, and use a sin3 x + cos3 sin x + c...

A:

Q: Convert the point (4, 225 degree) to rectangular coordinates, and state two other orderedpairs in po...

A: Polar r, θ to rectangular coordinate: x=rcosθy=rsinθ

Q: uestion Graph the following function:  y=2sec(2(x−π4))+2   Drag the movable red point to shift th...

A: Consider the given function. y=2sec2x-π4+2 Further simplify. y=2sec2x-π2+2 The phase shift is π/2. T...

Q: Use an Addition or Subtraction Formula to find the exact value of the expression, as demonstrated in...

A:

Q: Express 5 with a rational denominator, in simplest radical form. 3-12

A: Question 3 - Let the given expression be y - y = 53-2Rationalisation with the conjugate of the denom...

Q: verify the identity    2cot2x= cotx- tanx   show your work

A: To verify: 2cot2x=cotx-tanx Solution: We know that cotθ=1tanθ And we have formula, tan2θ=2tanθ1-tan2...

Q: 10) A tree which is 84 feet tall casts a shadow of 71 feet. Find the angle of elevation of the sun. ...

A:

Q: 3, how tall is the building?

A: Here we use basic trigonometric ratios to find the height of the building.

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.