Direction: Verify the following identities: 1. sec2x csc ²x = sec?x + csc?x 2. sec4x - sec2x = tan4 x + tan?x 3. (1- sin x) / cos x = cos 4. (1+ cot x) 3D csCx (сos x + sin х) 5. tan x cot x – 1 (1- sec sec x cos x )

Q: (d) (i) Convert 42° to radians, leaving your answer in terms of 7. (ii) Use your answer from part (d...

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Q: A tree grows at an angle of 5° from the vertical due to prevailing winds. At a point d = 43 meters f...

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Q: Simplify. cos(-4x) · cos 2x – sin(-4x) · sin 2x cos(-2x_ sin(-6x) cos(-3x) cos(-x)

A: Using Cos(A+B) formula

Q: Find cot theta of 4x + 9y = 0, x is greater than or equal to 0.

A: We will find the concept of slope to get value of cot thetha

Q: 4 e 3 Find the exact value of sin 20. 25 6 25 25 25

A: Given: sin 2θ=2 sin θ cos θ         =2 4535         =2425

Q: Write the equation of a sine or cosine function to describe the graph. 尋 27 3. 3.

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Q: Determine the value of angle A that corresponds to tan A = 6.0840. Round the answer to the nearest s...

A: We need to determine the angle.

Q: Use the description of the pair of lines given below to find the slopes of Line 1 and Line 2. Line 1...

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Q: Prove that the following statement is not an identity by finding a counterexample. sin2 ? + c...

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Q: Learn with an examplev 6 mm 8 mm What is the length of the hypotenuse? If necessary, round t C = mil...

A: topic- Pythagoras theorem Pythagoras theorem : the sum of squares of smaller sides is equal to squar...

Q: In an isosceles right triangle ABC, with the right angle at C, the lengthi of a leg is 20 inches. Pe...

A: Given that:  C is the right triangle.  The triangle is isosceles.  Legs AC=BC=20.   Since it is an i...

Q: What should be the height of a flagpole where a 20 feet long ladder reaches 20 feet below the top of...

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Q: -1, if { x 21} 3, if { x< 1} 8)Graph fx) = To graph 1) Start at y-int ( 1" point) 2) Apply slope ( 2...

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Q: Use substitution to determine whether the given x-value is a solution of the equation. cos x + 1 = ...

A: By using substitution to determine whether the given x‐value is a solution of the given equation.cos...

Q: 86° 51° • M C.

A: Given query is to find the measure of angle B and C.

Q: 20. 7. 31.6 7

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Q: The stairs at a school with a height of 5.5 m are broken and totally fall apart. At an angle of 35 d...

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Q: Solve the triangle shown to the right. Round the lengths of sides to the nearest tenth and angles to...

A: We know that,  c^2=a^2+b^2-2ab cosC Also we know the sine formula, a/sinA =b/sinB =c/sinC

Q: 4. Find the volume of the shaded figure below. 5. Find the perimeter of the figure below. 7 cm 2 cm ...

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Q: 33.48°

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Q: (c) Figure 6 shows the triangle ABC, with all side lengths measured in centimetres. 14.4 cm 6.9 cm A...

A: cosine rule

Q: Solve the triangle. B= 68° 30', c= 34 m , a = 77 m What is the length of side b? b = m (Round to the...

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Q: Solve each triangle ABC that exists. A = 76.4° a = 12.6 b = 9.5 Select the correct choice below and,...

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Q: 26 C 12 B. 1. Find side b? 2 Find mzLA? 3 Find mzB? 4. Solve sec ()? 5. Solve csc(270°)? A-

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Q: cos4t - sin4t/sin2t=cot2t-1 *Prove left side equals the right side using steps and reasoning.

A: Given query is to pove the identity.

Q: In the truss shown, find the value of 41 in degrees. 60

A: Use the properties - Sum of all  angles in a triangle is 180.

Q: If a = (3, 2) and  b = (-5, 3), what is a + b ?

A: Given, a= (3,2), b = (-5,3)

Q: QUESTION 1 Find an equation for the graph. 十 y 3 sin %3D Oy32 sin (3x) Oy33 sin (2x) y 2 sin (+)

A: Given: In the above figure, the amplitude is 2. So, there are two possible equations.

Q: A population of rabbits oscillates 30 above and below an average of 112 during the year, hitting the...

A: From the data, Vertical shift, D= 112 Amplitude,    A=30 Period,          B= 2π12=π6 Phase Shift,  C...

Q: Find the exact value of tan 0 , given that the sin 0 = – - and 0 is in quadrant III. Rationalize den...

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Q: Nrite the equation of a sine or cosine function to describe the graph. 4+ 3. 47

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Q: Use the right triangle and the given information to solve the triangle. a=7, B=57°;  find b, c and A

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Q: Solve the triangle. a = 1050 in, b= 885 in, c= 881 in

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Q: (4, 3), (4, -3), (-3, 4) and  (-3, -4). Which of the following pairs of vectors is perpendicular?

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Q: 5) Find Increasing, Decreasing or Constant Intervals. State in interval notation. Interval Notation ...

A: We know that for a given function, y = F(x), if the value of y is increasing on increasing the value...

Q: Find VX. V 220 W 8 Write your answer as an integer or VX

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Q: Given the equation y-6sin(3(r+2)) +7 The amplitude is: The period is: The horizontal shift is: units...

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Q: (cscd + Co+0)(1-CosO

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Q: 137 tan6 b.

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Q: You lean a ladder 7.6 meters long against the wall. It makes an angle of 73 degrees with the level g...

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Q: 2. Find the cosecant, secant, and cotangent of 45°. 45° 45°

A: A detailed solution is given below

Q: Other Angle Angle = 29.62

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Q: Given a triangle ABC, which among the following shows the Laws of Cosine? * i. (AC)? = (AB)² + (BC)²...

A: To find out the correct answer.

Q: The sides of an isosceles triangle are 10 and 16 m. (base). What is the length of the equal sides of...

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Q: S csc°x cot²x dx cot*x__cot³x cot’x 5 A cot³x 2 cot³x cot?x C 3 5 7 7 cot³x cot³x cot x D cot³x 2 co...

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Q: ram, determine the measure of 21 when the length of side x = 4.80 ft th of side y = 5.60 ft. Round t...

A: Topic:-  Geometry and trigonometry ratios

Q: Solve the​ triangle, if possible.     a=21.07​cm, b=8.75​cm, A=39.3°

A: Let's find. 

Q: Solve the inequality. -2x +1> x – 17 Enter the exact answer in interval notation.

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Q: a. sin (30 +72)' = cos 48°

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Q: piece of rod of length 52 cm. is cut into two unequal parts. Each part is then bent to form a square...

A: A piece of rod of length 52 cm. is cut into two unequal parts. Each part is then bent to form a squa...