tan 4x + Sec32)

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: 7) (section 6.2) Find the exact value of 11T sin) + cos() + tan(2> + sec( 4 6.

A:

Q: evaluate sec[ sin-1(-1/4)]

A: Evaluate : sec[sin-1(-1/4)] We know that sin2x + cos2x = 1  And also know that cos(x) = 1/sec(x).…

Q: | tan 3x sec 3xdx 3.

A:

Q: tan 36° sin 51° %3D

A: we get tan 30∘=0.577sin 51∘=0.777

Q: an=5/4, find sin2x from (180 to 270)

A: Given tan(x)=54

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: 8. tan(4x) 9. cot (3x-5)

A: SOLUTION:-

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

A:

Q: tan(20) = V3 Choose the correct answer

A:

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: tan 9x - tan 5x 11. Simplify 1+ tan 9xtan 5x (SHOW WORK)

A: follow next step

Q: tan 4 ;sin 3

A: We know, tan(π4)=1sin(π3)=32 Hence, tan(π4)=1;sin(π3)=32

Q: tan(8) – cot(8) = sec"(4) – csc*(0) 3) sin(8) cos(@)

A:

Q: Verify the Identity: sec^6 x (secxtanx) - sec^4 x (secxtanx) = sec^5 x tan^3 x

A: We will use trigo identity to solve this

Q: 17. (1 + tan x)(1 – tan x) = 2 – sec²x

A:

Q: tan (2 sin –1 )|

A:

Q: prove that sec-1x = cos-11 = cos-11

A:

Q: So 12 Sec 3x tan 3x dx

A:

Q: How does sin 15 ° = ((√2-(√3))/2

A:

Q: Find sec(θ) if tan(θ) = 12/5 and θ terminates in QI. sec(θ) =

A:

Q: 3. Rewrite the expression tan (2x) sec² (2x) entirely in terms of tangent.

A:

Q: Tan(20)-tan0=0

A: see 2nd step.

Q: Find sin ZA. 12 C A. 5 13

A:

Q: 6. 7 [sin¹ 3xdx

A:

Q: (B) Evaluate | tan (7x +1) sec³(7x +1) dr.

A: We will use simple integration rules to solve this question.

Q: Find the exact value of sec (-660)°. 2

A:

Q: Prove the identity.   (1-tanx)^2=sec^2x-2tanx.

A: We have to prove the identity(1-tanx)2= Sec2x - 2 tanx

Q: Prove the equation sec2 x csc2 x = sec2 x + csc2 x is an identity.

A: Given equation is, sec2csc2x=sec2x+csc2x

Q: 4. tan²B + 1 = sec² B

A:

Q: tan ³ (3x) sec" (3x) dx

A:

Q: Verify (1 − sin2 θ)(1 + tan2 θ) = 1

A: Using basic trigonometric formulas we can verify the given expression.

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

A: Find the exact value of tan(15°)

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 sec 0 if tan 0 = 12/5 and 0 terminates in QIII sec 0 =

A:

Q: | tan 3x sec" 3xdx 5. 12

A: Given: I=∫tan3xsec123xdx For evaluating given integral, we substitute sec3x=t…

Q: tan2 5° = tan 25°.Determine whether the statement is true or false. If the statement is false, make…

A: Given: tan25ο=tan25ο Determine whether the statement is true or false

Q: Verify the identity tan α/2 = tan α/ (sec α + 1)

A: We have to verify the identity: tan α2=tan αsec α+1 We know the relation between trigonometric…

Q: 7. tan x + sec 3 =

A: Given:

Q: evaluate sec(sin-1(3))

A: Given:

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: 3. Rewrite the expression tan (2x) sec²(2x) entirely in terms of tangent.

A: Given: tan52xsec22x Formula Used: sec2x+tan2x=1

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.