Simplify  1/cos a 1/sin b

Q: Verify the Identity: sin(pi/2 +x)=cosx

A: Since, sina+b=sinacosb+cosasinb Then, LHS- sinπ2+x=sinπ2cosx+cosπ2sinx=cosx where a=π2,b=x

Q: Use the fundamental identities to simplify the expression cos2 y /(1 − sin y).

A: To simplify the expression cos2 y /(1 − sin y).

Q: Is cos x= - V1 - sinx an identity? No O Yes

A:

Q: Find the exact value of the expression ((1):- () tan(1) sin cos-

A: cos(pi/3)= 1/2 so, cos^-1(1/2)=pi/3tan(pi/4)=1, so, tan^-1(1)= pi/4

Q: Find the exact value of expression.

A:

Q: Find the exact value of cos

A:

Q: Simplify cos(sinæ).

A: We simplify the given

Q: Evaluate and simplify. cos (9 sec x) dx

A:

Q: Express as a sum or difference.cos 4t sin 6t

A: The given product is, cos 4t sin 6t. The objective is to express the product cos 4t sin 6t as a sum…

Q: Evaluate / cos“(x) sin³(x)dx. Include "+c" in your answer.

A:

Q: Multiply. (cos(θ) + sin(θ))2

A:

Q: Simplify. (a) (b) cos sin 8

A: we have to simplify: (a) 1a1b=1a×b=bathis is the required answer.

Q: Use the addition formulas to derive the identity. 25) COS sin x 25) %3D

A:

Q: Give the exact value of sin (cos ()). 3

A: The objective is to find the exact value of the trigonometric function.

Q: Verify that the equation is an identity. sin 2x = 2 sin x cos x

A: Trigonometric relations.

Q: Evaluate (a) sin-1 (b) cos-1 (-)

A: Solve the trigonometry

Q: Rewrite cos x + in terms of sin(æ) and cos(a) 3 -

A: Given expression is: cosx+π3

Q: What is the real number equivalent for sin ( Cos ^ -1 ( 1/2)) ?

A:

Q: Use the appropriate formula to express the product sin x cos 2x as a sum or difference.

A: Given Data The product of trignometry formula is sin x cos 2x.   The general formula for the product…

Q: Simplify: cos(x+ ) + sin(x – ) 5.

A: The following formulae are used in solving the given expression.

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: sinθ+cosθcosθ=1+tanθwe have to prove left hand side equals to right hand side so there are two…

Q: Verify the identity: sin (x + π/2) = cos x

A: We have to verify the identity sinx+π2=cosx We know that sina+b=sina cosb+cosa sinb Using the…

Q: Find the values in

A: Given:

Q: Rewrite cos x in terms of sin(x) and cos(x) -

A: Trigonometry problem...

Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: We know the standard identity: sin2A + cos2A = 1   To show: sinθ/2cscθ/2 + cosθ/2secθ/2  =  1

Q: Evaluate sin(9æ)cos(3x)dæ.

A:

Q: Find the exact value of the expression. sinl cos

A: Use inverse trigonometric property

Q: Integrate sin (2a)cos (2a)da OS

A:

Q: Find the exact value of the expression whenever it is defined.

A: (a) sin-1-12=-sin-112                ∵sin-1-x=-sin-1x =-sin-1sinπ6   =-π6                          ∵…

Q: Find the exact value of cos csc(-

A: Topic = Trigonometric ratios

Q: Use an identity to solve the equation cos 2x = sin x on the interval [0, 2π).

A: Given:cos2x=sinx  on [0,2π)

Q: 1 (a) sin- (b) cos (-) (c) tan-' (- V3) 3. 2.

A: (a) The expression is  sin-1-22 By using the property, sin-1(-x)=-sin-1(x) sin-1-22=-sin-122 Let…

Q: Find the exact value of cos.

A:

Q: Find cos(sin^−1(−1/2))

A: Trigonometric

Q: Calculate the following. а. sin-1 cos"" (-) c. tan-(1)

A:

Q: Determine whether the statement below is true or false. cos°0° + sin20° =1

A:

Q: Rewrite sin (z + in terms of sin(x) and cos(x)

A: Recall:  sin(A+B)=sin A cos B+sin B cos A We have, A=x, B=π3

Q: Use the appropriate formula to express the product cos 5x/2 sin x/2 as a sum or difference.

A: Formula used:

Q: Find the exact value of cos tan

A:

Q: Evaluate csc(cos^-1(tan(sin^-1(a/b)))) when a/b is a positive real number

A: we have to evaluate csc(cos^-1(tan(sin^-1(a/b)))) when a/b is a positive real number

Q: Evaluate csc(cos^-1(sin(tan^-1(a/b)))where ab is a positive real number.

A:

Q: Verify that the equation is an identity. 2 tan 1+ cos x

A: we know thatcosx=2cos2x2-1consider…

Q: Rewrite cos(t+π/3) in terms of sin(t) and cos(t).

A:

Q: Use basic identities to simplify sin r + cos2 a sin a.

A:

Q: Evaluate a)  2 cos180°/sin90° and  b) sin 150⁰

A: Solution: The objective is to find the required values

Q: Rewrite cos (a + ) in terms of sin(x) and cos(x).

A:

Q: Use an identity to solve the equation: cos 2x + sin x = 0, 0 ≤ x <2π.

A: To solve the equation: cos2x+sinx=0, where 0≤x≤2π. Solution: We know that, cos2x=cos2x-sin2x and…

Q: Verify the identity. 1+ sint cos t ost 1- sint

A: Given problem: 1+sin(t)cos(t)=cos(t)1-sin(t)