Suppose that cos θ = 2/5. Calculate tan θ in the following two cases: π<θ< 2π.

Q: Use the conditions below to find sin 2θ, cos 2θ, and tan 2θ. cos θ = 5/13, 3π/2&lt; θ &lt; 2π

A: Given:

Q: If sin θ = 3.5x and cos θ = 5.5x, find x

A: sinθ=3.5xcosθ=5.5xDivide above equations.

Q: Find tan θ if sec θ = √5 and sin θ &lt; 0.

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Find two exact values of θ in degrees (0° ≤ θ &lt; 360°) for which cos θ = −√32.Do not use a…

A: Given information: cosθ=-32, 0≤θ≤360° Calculation: The cosine function is negative in second and…

Q: Assume that Sin θ= 4/5 where π/2<θ<π  find tanθ

A:

Q: if cosθ=-(1/9) and θ is not in QII find tanθ

A: We will find the value of  tanθ. Here we will use the formula  . That is         Sec2θ - tan2θ =1

Q: If cos 0 4. ૐ 4 b. 1 4 C. d. 3 4 1 4 3 4 find cos (-).

A: Given: cosθ=34 We are required to find: cos(-θ)

Q: Tan θ = 4/3, cos θ &lt; 0. Find the exact value of the remaining trigonometric functions of θ.

A: Given: tan θ=43 &amp; cos θ&lt;0 To determine: Value of other trigonometric function of θ.

Q: Which of the following identities is FALSE? O tan? 0+1= csc2 e CSC O tan 0 sin 0 cos e O sin 0+ cos…

A:

Q: 2. State as a single trigonometric function, then state the period: y= cos 5xcosx+sin 5xsin x

A:

Q: Suppose cos 0 : and 풍 <θ<ㅠ .Find he exact value of tan 0 .

A: Given,            cosθ=-25 and π2&lt;θ&lt;π.

Q: find θ, if 0 < θ < 360 and cosθ = sqrt3/2 and θ in QIV

A:

Q: If cosθ>0 and tan θ= -2/3, find secθ + tanθ/ secθ - tanθ

A: Consider the trigonometric functions: tan θ=-23……1cos θ&gt;0……2

Q: Find cos ⁡(2θ) if sin (θ) = 2/13.

A: