Consider the following triangle. B 5 A Find t 3.

Q: Derive a formula for tan (A - B).

A:

Q: Differentiate

A: Given,          ft=tan2tcost

Q: Express y in terms of x if the inverse sine of x is equal to the inverse tan of y.

A: Given sin-1x=tan-1y.  Assume θ=sin-1x so sinθ=x. Therefore using identity sin2θ+cos2θ=1:…

Q: Find the remaining trigonometric functions of theta if sin theta = 1/2 and terminates it

A: Given: sinθ=12 we know that sinθ is positive in first and second quadrant if, θ is in first quadrant…

Q: y = 3x² +5 7x²-3

A: According to our guideline we are supposed to answer only the first question if you want any…

Q: Find tan2t given the following: tan2 = -12/5 and sin t<0

A: Given  tanx=-125and sin t&lt;0

Q: Find the exact value of sin θ  and sec θ  when tan θ  =3/4 and sin θ  < 0.  Do not use a…

A: Given Data: tan θ  =3/4 The figure below represents the reference right angle triangle.

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: What is the meaning of the notation y = tan-1 x?

A: Given: y=tan-1x We know the meaning of following notation: sin-1x sine inverse x cos-1x cosine…

Q: Verify identity: tan2x(csc2x-1)=1 se how step by step worked out problem

A: Explanation of the answer is as follows

Q: simplify tan(a), if cos(a)= 4/7

A:

Q: Find the exact value of cos tan

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.