MAT 143: Algebra and Trigonometry Instruction: 1. Carefully read the question then answer. 2. Answer must be handwritten and step by step clear explanations. 6. Find the exact value for the following trigonometric functions. (a) sin²14° + cos² 14° (b) tan 40⁰ cos 50° cos 40⁰

Q: 32. Simplify the following trigonometric expression as much as possible: cot x · sec x CS x csc x…

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Q: The raised part of a sundial, called a gnomon, casts a shadow of length I when the angle of…

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Q: 6. Use substitution method to solve the trigonometric equation below. sin² 0 2 cos 0 + 2 for 0≤ 0 <…

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Q: Find the value of the following in the first quadrant: sin-¹ (sin 25°)

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Q: 2. Find sin 0 and tan 0 if cos O = 3 and Ois in quadrant III. Use exact answers.

A: Given that  costheta =-3/8 To find the sin and tan

Q: 50. Find the missing side and then find the exact value of each trigonometric function. (Leave as a…

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Q: Use a calculator to evaluate the expression. cos ? (67°) + sin ? (67°) cos ? (67°) + sin ² (67°) =…

A: Pythagorean identity.      cos2(θ)+sin2(θ)=1

Q: 5. Fill in the blank using cofunctions of complementary angles: a. cos(36°) = sin( °) sin ( 3 c.…

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Q: Which is the exact value of tan 15° using half-angle identity? A. V2 - 3 B. 2- V3 C. V2- V3 D. V2 -…

A: We can write 15° as 45°-30°. So tan15°=tan45°-30°. Us the identity tanA-B=tanA-tanB1+tanAtanB to…

Q: Use the calculator to determine angle values. Round off your answer to two decimal places. I. sin…

A: We can answer all the three parts as below.

Q: Find the exact value of csc 150°- 3 cos 240°.

A: Using Trigonometric identity

Q: Find the exact value. No calculator. Show each step. 7) tan 15° - cot 75° 8) cot 40°. sin50 sin40

A: solving problem 7, 8

Q: 7. Convert the given radians measure to degrees: (i) T/7 (ii) 3π/5 (iii) 2

A: According to answer guidelines of the platform if we have given multiple questions then we have to…