Show why the identity sin? x + cos² x : 1 is an example of the Pythagorean theorem?

Q: V2 V2 The expression -sin A+ -cos A can be written in the form cos(A+0). Find a possible exact value…

A: Given expression -22sinA+22cosA. The objective is to write the expression in the form cos(A+θ).

Q: Find sin π/4, cos π/4, and tan π/4.

A:

Q: if cos(X+pi/6)+sin(x-pi/3)=A, then the number A =

A:

Q: Verify if the given identity is true or false. sin²+ cos² 0 + tan²0 sec²0 O True False

A: To verify whether the given identity is true or false.

Q: Prove the identity. sin 2x = tanx 1+cos 2x

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

Q: 1+sin x 4 15. Evaluate o cos2 x

A: Integral of sec^2x is tanx and secxtanx is secx

Q: c) Verify the identity sin 0 1+ cos e 2 csc 0 1+ cos e sin 0

A: We take the RHS and simplify it and verify if it is equal to the LHS.

Q: What is the value of sin 30+ cos 30

A:

Q: Show that cos (90 degree - A) = sin A.

A: The given identity is cos90∘ -A=sinA.

Q: Go to your book on Section 5.2 problem set page 309 problem number 44. Find the exact answer for cos…

A:

Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

Q: sin z sin- is equal to 2

A:

Q: If the identity sin (x + a) = sin x cos a + cos x sin a is differentiated with respect to x, is the…

A: The equation is differentiated with respect to x. a is constant with respect to x.

Q: prove that sin(45° + A) sin(45° - A) = 1/2cos2A

A:

Q: Write the formulas for cos(A - B) and sin (A - B)?

A: We have to write the formulas for cosA-B and sinA-B. We know the formula for cosine difference angle…

Q: evaluate exactly sin(cos-1(2/3))

A:

Q: Evaluate the expression cos sin 6 16 + tan 3 . Give an exact answer.

A:

Q: Prove that the following identity is true.   sin4 t - cos4 t / sin2 t cos2 t = sec2 t - csc2 t

A: Given that sin4t-cos4tsin2tcos2t=sec2t-cosec2t

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.