15. Find sec0, given that sin 0 2 ,and 0 is in QIII. 5/21 21 d.- а.- 21 21 5 16. Find cos e using the same given in number 15. 5/21 ,5/21 21 d.- 21 а.- 21

Q: 11. If 180° 0 ≤ 270° and cos 0 sin(20). == 12, find 15

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A: First of all use the trigonometric identity that is cosα=1-2sin2α2 and now substitute -35 in place…

Q: If cos 4x = cos 6y, which of the following is correct?

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Q: 15 Suppose that tan ɑ = and 90° <a < 180°. 8 Find the exact values of cos 5 and tan-

A: Given, tanα =-158, 90°&lt;α&lt;180°

Q: 19 If x= cos 30 and y = sin 30 , then O a.-3 cot 30 O b. 3 tan 30 O C.-3 tan 30 o d.- cot 30

A: We have to find the differentiation like in the parametric form of differentiation . We have the…

Q: between 0° and 360°. z, = cos 100° + i sin 100° Z2 = cos 230° + i sin 230° %3D Choose the correct…

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Q: 7. If 0° < 0 < 90° and sin 0 =, find cos 20.

A: To find: The value of cos2θ. Given: The value is sin θ=35 and 0°≤θ≤90°. Formula used: Trigonometric…

Q: 24 7.

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Q: 5 and 13 3.) Find cos given that sin x < x < t %3D

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Q: Enter the EXACT value for each of the following. (a) cos( 0°) = and sin( 0°) = (b) cos( 45°) = and…

A: Answer is mentioned below

Q: 17 5 with B in QIII, find 13 2. If sin A =with A in Ql and cos B a. cos(A + B) b. tan(A + B) C.…

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Q: 6. If sin a = -1, what is cos a?

A: The trigonometric functions include 6 functions. The trigonometric terms can be calculated using the…

Q: 11T - If 0 = then 6. sin(0) = %3D cos(0) = %3D

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Q: 12 5. If 0° <0 < 90° and sin 0 = find cos 0 using trigonometric 13' identities. 13

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Q: find cos(u/2) if cos u = 0.229 and u is in quadrant 1 cos (u/2) = ?

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Q: 2. If 0° < 0 < 90° and cos 0 find sin 20. 3/55 32 V55 64 V55 32 3/55 64

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Q: 11. If 0° <0<90° and sin 6 = , find cos 0 using trigonometric identities. %3D 13

A: Explanation: Given that,  sinθ=1213 ;   0°&lt;θ&lt;90° We know that,  In trigonometric ratio:…

Q: 4. If 0° <0 < 90° and cos e= , find cos 20.

A: Here given as

Q: -57 If 0 -, then 6. sin(0) = %3D cos(0) = %3D

A: θ=-5π6 find the value of  sin(θ) sinθ=sin-5π6 sinθ=-sin5π6 sinθ=12

Q: - 37 then 4 - If 0 sin(0) = cos(0) =

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Q: 5. If cos 0 = 0.8, find cos(0 + n).

A: We will use the formula cos(A+B)=cosAcosB - sinAsinB With A=theta and B=pi

Q: 5. If 90° < 0 < 180° and cos 0 = — 1, find cos 20. ㅇ 곯 ○ 16 25 0-곯 ㅇ

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Q: 2. Find the exact value of the following expressions: а) sec-- cos + sin b) sin 12 4 6

A: topic - trigonometric ratios

Q: -4 Зл 12. Find the exact values of sin2u, cos2u, and tan2u when sin u , t <u < 5 2

A: Sin u = -45 , π &lt;u&lt;3π2To find exact values of Sin2u, cos2u, tan 2uπ&lt; u&lt; 3π2  ; ut π,…

Q: (Note: Check the answer by the calculator) sin 0 + In + 22+3 = -3 1-cos 20 In y? + 322- 4 = 2 2 +2ln…

A: Given system of equation can rewritten as : sinθ+ln1y+2z+3=-3lny2+32z-1-cos2θ2=421+cot2θ+2lny+2z=-3…

Q: 5. 3 If tan B = - with * <B < 2n , find cos (2ß). %3D

A: It is known that in the first quadrant all trigonometric ratios are positive, in the second quadrant…

Q: - 47T then 3 - If 0 : sin(0) = cos(0) = COS Give exact values. No decimals allowed!

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Q: If 0 = then 3 cos(8) = %3D sin(0) = %3D

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Q: Plz answer with step

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Q: 6 If csc B =6, e in Q2, find Sin(20) with

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Q: 3. Given that cos 30 J3 and sin 4S = 2, without the use of a %3D %3D 2. 2. calculator, evaluate…

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Q: 2 sin- If p = cos -1 q, show that 4p? – 4pt + q? = 1.

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Q: Which of the following is equivalent to cos (60° + 0 + sin(30° + 0)? cos 8 +V3 stn 0 cos e Option 1…

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Q: - Find the value of each of the following: 4T Cos 3 sin(-30°) , ,sec(165°)

A: as per our guidelines, i can answer only one equation with three subparts. To know rest, please re…

Q: If 0° < 0 < 90° and sin 0 , find cos 20. %3D 25

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Q: 4. If v3cot0 = 2cos0, then evaluate sin?0 – cos20 |- %3D

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Q: if cos A=1/2 with A in QIV find sec A/2

A: Given  We know that

Q: If cos (0) = - and sin (8) = -, where <0 <r and <B< 27, find cos (0 + B). 5 %3D %3D 13

A: Given,            cosθ=-35 and sinβ=-513 , where π2≤θ≤π and 3π2≤β≤2π

Q: Find (a) sin 2t, (b) cos 2t and tan 2t given the following: 1) cost = −5/13 , and π/2 0 3) tant =…

A: The detailed solution is given below Thank you

Q: 2. If sin A = -35 with A in QIII and cos B = 5 13 with B in QIV, find the following. a. sin (A + B)…

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Q: 8. 15 Use the figure above to find the exact value of sin 20, cos 20, tan 20. sin 20= cos 20= tan…

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Q: 4. If cos 0 = and tan 0 >0, then sin 0 = 13 O A 12 13 о в 5 12 С. 12 13 O D. 5 12

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Q: If 0° < 0 < 90° and sin 0 = , 3 find cos 20.

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Q: 10. If 0° 0 0° ≤ 0 ≤ 3 ne = , find cos(20) 5 ≤ 90° and sine

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Q: If sin B = − 1 5 with B in QIII, find the following. cos  B 2

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Q: 2. If 90° < 0< 180° and cos e = - 5, find sin 20. 37 420 1369 840 1369 840 1369 420 1369

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Q: – 57 then - If 0 : sin(0) = cos(0) = COS %3D

A: Given : θ = -5π/6 Then, sinθ = sin(-5π/6) = sin(-5×180/6) sin(-150) = -sin(150)         [∴ sin(-θ)=…

Q: 5 If sin u = 13 12 cosu = 13 3 and cos W = 5 W = --, find the exact value of each of the following:…

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Q: If 0° <0 < 90° and sin 6= 12 find 13 cos 0 using trigonometric identities. %3D 12 12 13

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Q: Suppose that sec a 17 and T<a<• 8 2 a Find the exact values of sin - and tan- 2 JT sin Undefined ?…

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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.