12. First simplify using identities and then solve 2 cos 0 + tan 0 00< 27. Express the answer in terms of T. = sec 0, where

Q: 1 in tan 3 +coS -1

A:

Q: -Tt/2 S 3 sin 0 + 5 cos0 d0 -t/2

A:

Q: how many solutions does tan 3x = a have/ less than 2 pi but greater than 0

A: Find the  number of solution  of question. We will find the solution  using graph of tan 3x.

Q: 2 sin x cos x = V2 cos x Solve:

A: Given trigonometric equation is : 2 sinx cosx=2 cosx To find the value of x.

Q: Proving Identities. Verify the identity. (1-sin²t+ cos² t)² +4sin² t cos² t = 4cos² t

A:

Q: sin 4x dx 1+cos2x

A: To evaluate the integral: ∫sin4x1+cosx22xdx Solution: Let substitute t=1+cos22x Differentiating both…

Q: solve each equation on the interval 0&lt;=0 &lt;2pi

A: sin2θ-cos2θ=1+cosθ1-cos2θ-cos2θ=1+cosθ2cos2θ+cosθ=0cosθ2cosθ+1=0cosθ=0 or 2cosθ+1=0

Q: Solve equations for values of x from -180 to 180     Cot x = 5 cos x

A: The given trigonometric equation is  Cot x = 5 cos x We need to solve by using trigonometric…

Q: Find the exact value of cos , i.e. expressing it using only natural numbers and operations +, -,…

A:

Q: Prove the identity. secx- tanx = 1 sec x

A: Given,

Q: Simplify + cosx-1 cosx+ 1

A: Given, Simplify 1cos x+1+1cos x-1

Q: sec² () = 1+ cos x 2.

A:

Q: 9. Solve the equation for x if 0 < x < 27. 2 cos x + tan x - sec x = 0 VI

A: The correct option is option A. Use the trigonometric ratios and identities to rearrange the given…

Q: 4 cosx-1 solve the equation 2 sin x : , giving all values of x between tan x 0° and 360°.

A: The given trigonometric equation is  2sinx = 4cosx-1tanx

Q: Calculate the value of expression: sin- cos--2· cos- • tan 5 2

A: Explanation of the answer is as follows

Q: Solve 4 cos x = 5 – 4 sin x, where 0 < x < 2n .

A:

Q: Find the derivative of y = 5.20 - x². dy dx - J

A: The Sum/Difference Rule:The Power Rule:And

Q: sin 60⁰ cos 300⁰

A:

Q: 8. Solve the following equation. tan 3x(Stanx - 8) = 0

A: we have to solve trigonometric equations. the solution is following

Q: 22. Use trig identities to simplify the following expressions: 22a. cot θ csc θ, 22b. csc(α) cos(α)…

A:

Q: Show that sin 2x Þ 2 sin x by substituting 30 degree for x and then simplifying both sides.

A: To prove: sin2x≠2sinx For x=30°

Q: 7. Solve the following equation. sin x(5 sin x + 5) = 0

A:

Q: f cosece - sin0 = m and sec0 – cos0=n,Prove that „?n) + (mn²) = 1

A: