If a + B+y= 180 and cot e= cot a + cot B + cot y, 0

Q: 8. If sin 0 E and tan 0 -E, find sec 0.

A: Given: sinθ=513 and tanθ=-512. To find: secθ Solution: We have, sinθ=513 and tanθ=-512 We know that…

Q: I--I---A sin dydx sin:

A: Given I=∫x=12∫y=xxsinπx2ydydx+∫x=24∫y=x2sinπx2ydydx In the given function variable y is in…

Q: sinx = 5/13, x E 5,1], then cosx =?

A: We are solving the problem by the property of trigonometry ratio.

Q: Express sin 0 cot in terms of first degree sine or cosine function. sin 0 (1+ cos 0) O sin 0 (cos 0…

A:

Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: Find sin x if cot x = -(√3)/2 and cos x

A:

Q: sinr cos (x - y) - cosx sin (x - )

A: As we know that the trigonometric identities: sinA-B=sinAcosB-cosAsinB   Given:…

Q: 16. Verify sin(180° – ) = sin e (SHOW WORK)

A: We know that sin(a-b)=sina cosb-cosa sinb

Q: Let cos x = 1/3+z and cos x lies below then x-axis. Find sin(2x), cos(2x) and tan(2x).

A:

Q: tan(e) cos(0) - sec(0)

A:

Q: 2 and tan 0 < 0, then 4 If cos 0 - - sin(0) tan(0) cot(0) || sec(0) csc(0) = Give exact values.

A:

Q: a) Show that sin¯'x + cosx = 2 E) - tan-' (). x(x-y) y(x+y) (b) Find the value of tan1 where >-1…

A: We can solve these two question by using the properties of inverse trigonometric function as below.

Q: Using Euler' formula, show that sin 2x = 2 sin x cosx

A: Euler's Formula used.

Q: tan e = 4 and 0 terminates in QIII 3 sin 0 Cos e = Csc e sec e cot 0

A:

Q: verify the trigonometric identity: cot x( sec x-cos x)= sinx

A:

Q: Prove the identity. sin x+ 2. = cotx sin (n-x)

A:

Q: express sin(x+y+z) in terms of cosine and sines of x, y and z

A: Answer and explanation is given below..

Q: Determine a root of the equation sin x + 3 cos x – 2 = 0. Correct to four decimal places

A:

Q: Prove the identity  cscA-sinA = cotAcosA

A: Given,        cscA-sinA = cotAcosA

Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

A:

Q: snip

A:

Q: Find sin x if sin x – cos x x = 3 sec x

A: Consider the given trigonometric expression, sinx-cosx=13 now square both side of the equation,…

Q: tan (x) -6.2. What is cot (90° - x)? %3D Submit

A:

Q: Show that (sec x) = sec x tan x. dx Note: You may assume it is known that (sin x) = cos x and :(cos…

A:

Q: Sine- -Cos zo

A: Using trignometric property

Q: Prove the identity. sin(-0) sec(-0) cot(-0) = 1

A:

Q: If tan 0 = 5 and 0 < 0 < 90° then the value of sin 0 is %3D

A: Answer and explanation is given below

Q: Show that (sec 0 - tan 0)² = 1-sin 0 1+ sin 0

A: Formula used : Sin2x + cos2x = 1 a2 - b2 = (a-b)(a+b)

Q: Show that (sec x) = sec x tan x. Note: You may assume it is known that (sin x) = cos x and :(cos x)…

A:

Q: Find sin X os X

A:

Q: Prove the identity. csc (-x) – sin (-x) = cosx cotx

A:

Q: 3 and e is in QIII. 5 4. Find the exact value of sin if cose

A:

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same tim 3. Prove…

A:

Q: Find cot(x) and cos(x) if sin(x) =1/4 and tan(x) >0

A:

Q: [1] sin3x Asinx – Bsin³x, find A and B. -

A: Explanation of the answer is as follows

Q: Verify the identity: cot(-x) sin x = -cos x

A: cot(-x)=-cot(x)cot(x)=cos(x)sin(x)

Q: Find cot 0 if sin 0 and 0 terminates in QIII. 35

A:

Q: sin 2x/1-cos 2x =cot x. verify the identity

A: Consider the given equation.

Q: 1- sine sece – tan 0 Cos e

A:

Q: If tan(x+y) tan(x-y) = 1 then find the value of tanx

A: From the given data:

Q: Prove the identity. TC sin +x+ 2. cotx sin (n-x)

A:

Q: |- Sin X Cot X Cosx SinX -

A:

Q: Find exact function values for: a. sin(α/2) b. cos(α/2) c. tan (α/2) cosα = 12/13, (3π)/2 < α <…

A: The given trigonometric ratio is cosα=1213 ,where3π2&lt;α&lt;2π (a) To find the value of sinα2…

Q: Find tan 0 if sin 0 = 3/4 and 0 terminates in QI. tan 0 =

A:

Q: 6. Given: secx=- 4, cotx>0 Find the exact values of sin 2x and tan SHOW ALL WORK. 6. sin 2x - tan =

A:

Q: If s sec? x- 2010 P(x) Sin2010 then value of P is Sin2010

A:

Q: If sinx=38sinx=38, x in quadrant I, then find (without finding x) sin(2x)=sin(2x)=    cos(2x)=cos(

A:

Q: sin x cot x (1 – cos x Prove -- sec x | 1) Show all work to receive credit

A: We have to prove

Q: If y = Cot-1 - tan-1x, X then y'

A:

Q: Verify identity cot x sec x sin x = 1.

A: Verify: cotxsecxsinx=1