Use the formulas for lowering powers to rewrite the expression in terms of the first power of cosine, as i cos (x)

Q: Verify the Identity: sin(pi/2 +x)=cosx

A: Since, sina+b=sinacosb+cosasinb Then, LHS- sinπ2+x=sinπ2cosx+cosπ2sinx=cosx where a=π2,b=x

Q: Use addition formulas and the values of sin θ and cos θ for θ = π/3 , π/4 to compute sin π /12 and…

A: To calculate sin π /12 sinπ12=sinπ3-π4=sinπ3cosπ4-cosπ3sinπ4=32·12-12·12sinπ12=3-122

Q: 4. Use the power-reducing formulas to write sin?xcos²x in terms of the first powers of cosine.

A:

Q: 1-cos?x Simplify: sin²x

A:

Q: Evaluate the expression cos sin 3

A:

Q: Use the power-reducing formulas to rewrite the expression 8 sin2 x cos2 x as an equivalent…

A: Given, the expression 8sin2xcos2x. We have to write this expression in terms of trignometric…

Q: Use the power-reducing formulas to rewrite the expression sin2 x cos2 x as an equivalent expression…

A: Given that: The expression is sin 2 x cos 2 x  .

Q: find the exact value of each expression. Rememberthat sin-1x and arcsin x are the same function,…

A:

Q: complete the identity using the triangle method cos(tan-1(x))

A:

Q: Use double- and half-angle formulas to find the exact value of the expression cos2 15° - sin2 15°.

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: a) Simplify sin 2 tan in terms of x using triangle method.

A:

Q: Find the exact value of the expression. Not a decimal. Sin[tan^-1 (- square root of 3/3)]

A:

Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

A: The given function can be written as:

Q: Find the exact value using sun and difference formulas.  sin(cos-1 5/13 - sec-1 5/4)

A: Let,I=sincos-1513-sec-154using…

Q: Write cos*x in terms of first powers of cosine. 4

A: cos4x

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A:

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A:

Q: -1 coS (sin(#). 6

A: Given that: cos-1sin7π6

Q: do i use difference formula to find out whether the following is positive or negative? cos(x+3pi)

A:

Q: By using the addition formula derive the identity of the function sin (x -), then choose the correct…

A: Given the given function is sinx-π2. Apply addition formula sinp-q=sinp cosq-cosp sinq.

Q: Use the power-reducing formulas to rewrite the expression in terms of first powers of the cosines of…

A: Given expression is 5cos4x. We have power reducing formula, cos2θ=1+cos2θ2 Using this power reducing…

Q: Use a double-angle formula to rewrite the expression. 16 sin x cos X

A:

Q: 3. If 180° < x< 360°, and sinx - Find the exact value of cos

A: The trigonometric formulas are sin2x+cos2x=1 and cosx=2cos2x2−1.

Q: Find the exact value. Must show a diagram. cos sin-(-)]

A: We know that: Sin2θ+Cos2θ=1And,CosCos-1(θ)=θ.

Q: Use the power reducing formulas to rewrite sin 5x cos 5x in terms of the first power of cosine.…

A:

Q: Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where…

A:

Q: Evaluate the expression without using a calculator. sin 4 元 + Cos 4 -

A: We kow…

Q: Use the power reducing formulas to rewrite sin24x cos24x in terms of the first power of cosine.…

A:

Q: rewrite

A:

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A: Given :   cos ( sin-1 (0) )

Q: Use the addition formula for cosine and the identities to prove the subtraction formula for the sine…

A: We have

Q: Determine all solutions of the equation in radians. Find cos , given that cos x = and x terminates…

A: To find value of cos x2 given that value of cos x=14 and x terminates in 0&lt;x&lt;π2

Q: Which expression is equivalent to sinαcosαsec(−α) for all values of α for which sinαcosαsec(−α) is…

A: Given,           sinαcosαsec-α

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A: Write sin6x as sin2x3 and write it in terms of cosine and simplify. sin6x=sin2x3=1-cos 2x23

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A: Given: sin6x

Q: Verify the identity. (Simplify at each step.) (1 + sin α)(1 − sin α) = cos2 α (1 + sin α)(1 − sin…

A:

Q: Use the power reducing formulas to rewrite Sin'x cosʻx in terms of the first power of cosine X,…

A: We use the formula 2cos2(a) = 1+cos(2a) 2sin2(a) = 1- cos(2a)

Q: 5. Write sin 33° in terms of cosine.

A:

Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

A: Given Sin6 xWe have to write in power of cosine .

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

A: Given sinθcscθ-sinθ=cos2θ

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.)…

A: We have to find the value

Q: Find cose given that sine = 8 and tane < 0. 17

A:

Q: Use the power-reducing formulas to rewrite the expression sin2 x cos2 x as an equivalent expression…

A: Given expression sin2xcos2x  To rewrite the expression  sin2xcos2x as an equivalent expression that…

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.