Show that cos theta + tan theta = sec theta cosec theta

Q: Show that tanθ + cotθ = 2 Cosec2θ

A: Given query is to prove the Indicated identity.

Q: Evaluate: cos [sin cos[tan' +4 sin sec (" )

A:

Q: Verify the identity: (cos θ sec θ)/cot θ= tanθ.

A: We have to verify cosθ secθcotθ=tanθ We know that secθ=1cosθ and cotθ=cosθsinθ Now, LHS=cosθ…

Q: Explain tan theta in terms of sin theta

A: Express tanθ in terms of sinθ.

Q: Verify the identity: tan (θ + π/4) =  (cos θ + sin θ)/(cos θ - sin θ)

A: We use the formula for tan(A+B)

Q: Convert to cartesian Sin ()+ tan (0) %3D

A:

Q: let sin theta = -12/13 and cos theta = -5/13 and find the indicated value of      tan theta

A: According to question: sinθ=-1213 and, cosθ=-513 We have to find the value of tanθ We know the…

Q: Write sin 17° in terms of cosine. sin 17° COS %3D

A:

Q: Evaluate without using a calculator.      cos  (cos    -1 1/2)

A: given: coscos-112 we know that coscos-1x=x

Q: Verify the identity: cos θ sec θ/ cot θ = tan θ

A: Given :cos θ secθcot θ=tan θTo verify the given identity .

Q: what is cos(tan^−1(−1/2))

A:

Q: show that tan4 theta + tan2 theta = sec4 theta - sec2 theta

A: Given expression: tan4θ+tan2θ=sec4θ-sec2θ Taking L.H.S of the above expression tan4θ+tan2θ…

Q: Show that cot theta + tan theta = sec theta cosec theta

A:

Q: Prove the identity tan+cot 0 = csc sin + sec 0 + cos e

A:

Q: Let tan theta = 3 with theta      cos 2 theta

A: Known fact: cos2x=1-tan2x1+tan2x

Q: If sin theta = -2/2 and theta terminates it . Find cos theta

A: Given that sinθ=-22=-1. It is known that cosθ=±1-sin2θ. Substitute the given value and simplify as…

Q: tan( sin " + cos") - %3D

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find tan theta  if sin theta = 1/3

A:

Q: if sec 0 + tan0 = x,obtain the value of sec O,tan0 and sin0

A: We can solve this as per equation by using trigonometry formulas

Q: It COSe + Sin@ TtCose Sin 6 Sine

A:

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

A:

Q: if csc theta = 4/3 and sec theta > 0, find tan theta

A: Given, csc(θ) = 4/3 ∴ sin(θ) = 1/csc(θ) = 3/4 Now,  cos2(θ) + sin2(θ) = 1 => cos(θ) =…

Q: sin\theta =-3/4 and cos\theta <0, then tan\theta =

A:

Q: Rewrite sin (2 cos'v) as an algebraic expression in v. sin(2 cos"v) = ]

A: We have to rewrite the given identity as algebraic expression.

Q: Calculate: cos(1+i). Sin CIti) tanciti) arin

A: We will find out the required values.

Q: EVALUATE: tan(sin-'(cos(플) + sin(플)) s-'(tan(-주)) + cos

A:

Q: Prove sec theta + tan theta /cot theta +cos theta =tan theta sec theta

A:

Q: If sec theta + tan theta = p , then what is the value of sec theta - tan theta

A:

Q: ضوع الشرب Please prove it Sin Cos +1 = 1 + sin Sin + Cos - 1 Cos ##

A:

Q: Find sin θ if cot θ = - 2 and cos θ &lt; 0.

A: To determine the value of sin(θ).

Q: Verify the identity  sec theta  - cos theta  = sin 2 theta /cos theta

A: We have to prove the identity: sec θ-cos θ=sin2 θcos θ We know that  sec θ=1cos θ Taking LHS part,…

Q: Solve sin(theta) + 3cos(theta) = 1

A: Given,           sinθ+3cosθ=1

Q: Given that SEC theta -TAN theta=V find SEC theta +TAN theta

A:

Q: verify the identity 1-2sec theta-3 (sec theta)2/-(tan theta)2 = 1-3sec theta/1-sec theta

A: We have to use Pythagorean identity

Q: Evaluate without using calculators: cos sin cos 5 13

A:

Q: Cos-Sine++tan e 2tano %3D

A:

Q: Find the exact value  sin(pie/6)cos(pie/3)+sin(pie/3)cos(pie/6)

A: we know that ,  sin ( a + b ) = sin ( a ) • cos ( b ) +                               cos ( a ) sin…

Q: Write (tan theta/cot theta) in terms of sin theta and cos theta

A:

Q: Determine the exact value of csc ( cos-1) – cos (tan-) COs-1 COS 8. |

A: find the exact value in the following way:-

Q: olve for theta 0<=theta<360 cos 3 theta=1

A:

Q: What do we mean when we want tan theta written in terms of sin  theta ?

A: Our Aim is to write tan θ in terms of  sin θ.

Q: True or False: cos(sin 0) = 1 and sin(cos0) = %3D

A: I have shown that given result is False.

Q: SHow that  tan4 theta + tan2 theta = sec4 theta - sec2 theta

A:

Q: Find sec  theta  if tan  theta = 20/21  cos theta &lt;0

A: Given: tanθ=2021cosθ&lt;0

Q: Verify that sin θ cot θ = cos θ

A:

Q: If csc(x) = 8, for 90° < x < 180°, then sin) Preview %3D cos) Preview COS %3D Preview tan 2 %3D

A:

Q: Determine the exact value of cos(tan-1(6/7)+tan-1(3/5))

A:

Q: Evaluate without using a calculator.       cos ( tan  -1 1/3)

A: Given : = cos ( tan  -1 1/3)   Put tan-1 1/3 = θ         tan θ = 1/3 = cos θ  = 1/√1 + tan2 θ = 1/√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.