a tan-" u du = 3u² + 1)tan-" u - +C 55.

Q: Find all solutions to tan(x)=sec(x) that lie in the domain [0, 2)

A: tan(x)=sec(x) Given interval is [0, 2).

Q: i) Sin 20easoal-Sin?

A: Use the trigonometric identities,…

Q: Determine whether the statement is true or false. Justify your answer. Because tan(3π/4) = −1,…

A:

Q: 4. The point (9, -5) lies on the terminal side of the angle e in standard position. Find (sin 0 +…

A: Use pythagorous theorem to solve

Q: 9. cos-210° 10. tan 71 11. sec 12. cot 150° 37 13. sec 2.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the exact value of tan 15°. 4 2- 3 2+ /3

A: The option 2-3 is the correct option. Rewrite the given tangent expression. tan 15°=tan 45°-tan 30°…

Q: Determine 3 sec(9x) tan (9x) dx

A: We have to determine the value of integral: ∫3 sec 9x tan 9x dx Solving given indefinite integral by…

Q: Find the exact value of tan 15°. 9, 4 2-3 ) 2+ 3 2.

A: We have to find exact value of the trigonometric function: tan 15° Rewriting the given expression,…

Q: Verify the identity: sec(α + β) = sec α sec β/(1 - tan α tan β)

A: Given sec(α + β) =secα secβ1- tanα tanβ∵sec θ = 1cos θ ; tan θ = sin θcos θ⇒ from (1) , we get…

Q: Plot the point(s) where tan = Clear All Draw: √3 3

A:

Q: sec2@ 10. tan@ - - tan@

A:

Q: =-i In (izt Ji-z2?) Sin 군 tan 군 = 늑In

A:

Q: Prove tan-1z =

A:

Q: tan 4x + Sec32)

A: ∫(tan4x+sec3x)dx=∫tan4xdx+∫sec3xdx=14logsec4x+13log(sec3x+tan3x)+c

Q: tan 12 + 2 2 sin15° = ?

A: First we find value of tan (π/12) and sin(15°). And after than we put in the given equation and find…

Q: Evaluate tan" (32) sec"(3e) dz. sec" (Зa) da.

A: Here we integrate using substitution method.

Q: The equation 1 - tan x = x has a solution in which interval?

A: Given equation is : 1-tanx=x To find the solution of the equation in which interval.

Q: Solve the equation. 3 tan 20= sec 0 2

A:

Q: 3. What is the exact value of tan 195°7 O 2+ V3 O 2+ v3 O 2-V3 O-2-V3

A: To find rhe exact value of 195°

Q: Approximate to four decimal places, when appropriate.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: sec 20 tan 20 de

A:

Q: Let tan (0) = 3 with 0 in QI. Find sec (20). 10 sec (20) =

A:

Q: How can I prove the identity of (1+tan^2x)cot^2x=csc^2 for each step?

A: Consider the given identity (1+tan^2x)cot^2x=csc^2x

Q: 13) sin- 15) tan--1 1/-

A:

Q: 4- Sin' aCOSX -bSinX bcost+asinX

A: solution:-

Q: Express in the form a + bi, where a and b are real numbers.

A:

Q: Plot the point (s) where tan 0 = = Clear All Draw: √√3 3

A:

Q: Determine if the statement is true or false. tan  2A/ 2=  tan A

A: Given expression: tan2A2=tanA Tale left hand side the given expression: tan2A2 We know that…

Q: Determine whether the statement, tan2 15° - sec2 15° = -1, is true or false. If the statement is…

A: Given: tan2 15° - sec2 15° = -1 To find: Whether the statement is  true or false.

Q: 15. Which is the value of sec2 80° - tan? 80°? O -1 undefined O 1

A: Given :

Q: Let (-4,5) be a point on the terminal side of 0 sin0= sec0= tan0=

A:

Q: O sec [tan'( 5)] = ? O Tan [Sım'()]- ? 2)

A: To evaluate the expression

Q: 22. What is the minimum amount of information that you must have in order to be able to apply the…

A: The minimum information that you must have in order to be able to apply the law of sines is: 1) Two…

Q: O sec sec 0 – 3 = tan 0 – 4

A:

Q: 1-cosx 2 C: Prove tan? 2 1+cosx

A:

Q: To prove cos (-u) csc (-u) tan (-u) = 1, which of the following is correct as a first step? a. cos…

A: cos-u csc-u tan-u=1

Q: tan (90° - x) = 9.3. What is cot (x)? %3D

A: Some trigonometric identities: sin(90-θ)=cos θ cos(90-θ)=sin θ

Q: 3. Rewrite sec (tan-u+ cosv) (a, algebraic expression. as an

A:

Q: & tan B give

A: We have to find

Q: sin (tan' 8, zan-)= 0.35 O -0.35 O 0.40 O -0.40 O O O

A: Inverse Trigonometric ratios are just the opposite of Trigonometric ratios as Trigonometric ratios…

Q: Find the solution to the equation: tan(2θ + 5)=cot(3θ -20)

A:

Q: sec? V5 ), tan 17 dx

A: Evaluate the given integral by using substitution I=∫sec2x5tan17x5dx

Q: Find sec 0 if tan 6 and 0 terminates in QIII. sec e = :- 4 sec e = 3 5 sec 0 = %3D sec 6 sec 0: %3D…

A:

Q: 90) |(tan 2z)? sec 2r dz 21) / dr

A: The given integral is, I=∫tan2x2sec2xdx=∫tan22x sec2xdx=∫sec22x-1 sec2x dx…

Q: Find the value of sec u if cos u = - 7

A: The sec and cos are important trigonometric functions. The other four functions are sine, tan, cot,…

Q: tan 45, sec 60 5 sin 90 sin 60° 2 cos 0 cos135° Leave your answer in exact form (no decimals). 11.…

A: We will directly out the values of all of these then calculate.

Q: Does cosx = tanx have a solution? Describe the set of all solutions.

A:

Q: 18) tan- V3 V3 20) tan 3.

A: Given:- 18 tan-1(√3) 20.  tan-1(-√3/3)

Q: Find the exact value of:

A: Given that, To find the exact value of  sin 7π12 by using the identity, sin ( A + B) = sin A cos B…