Multiply the numerator and denominator of the fraction by the conjugate of the denomi-nator, and then simplify.     1- sin x/1+ sin x

Q: Find the exact value of sin x, cos x, tan x, csc x, sec x, and cot x given that cos 2x= -3/7 and…

A: Since, we have been given that cos 2x=-37 where π<2x<3 π2-(i)Our aim is to find the exact…

Q: Find the value of sin(2arccos(− (square root 3 )/3) . Write the final answer as a single fraction…

A: To evaluate: sin2cos-1-33 Simplifying the expression gives sin2cos-1-13

Q: 4 If sin A with A in QII, and sin B with B in QIII, find sin(4+B) 35

A: Use trigonometric ratio for finding the sin(A+B)

Q: Use identities to find the indicated value. Where necessary, rationalize denominators. 3√5 Find csc…

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Q: Multiply. (Simplify your answer completely.) (1 – sin 0)(1 + sin 8)

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Q: Use the appropriate reciprocal identity to find the exact value of sin 0 for the given value of csc…

A: Sinx is equal to 1/cscx

Q: Use an addition or subtraction formula to find the exact value. Write your answer as a single…

A: Use an addition or subtraction formula to find the exact value.

Q: Factor the expression and use fundamental identities to simplify tan^4 x + 2tan^2 x +1

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Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

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Q: The angle t is an acute angle and sint and cos t are given. Use identities to find tan t, csc t,…

A: We can use the trignometrical ratio in order to solve the given problem.

Q: Use the appropriate reciprocal identity to find the exact value of sin 0 for the given value of csc…

A: Explanation of the answer is as follows

Q: For sin (2a) = 41 and 0° <a<45", find sin a, cos a, tan a, csc a, sec a, and cot a. sin a =…

A: We have to find

Q: 5. sin 45° Evaluate ,leaving your answer in exact form with a rational denominator. COS 45 Enter…

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Q: Use the appropriate reciprocal identity to find the exact value of sin 0 for the given value of csc…

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Q: Perform the addition or subtraction and use the fundamental identities to simplify. There is more…

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Q: cos (t) Simplify to an expression involving a single trig function with no fractions. 1- cos2(t)

A: To simplify the expression given into a single trigonometric function with no fractions

Q: Use the given triangle to evaluate the expression. If necessary, express the value without a square…

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Q: Rewrite the product as a sum or difference. 2 sin(8x) cos(5x)

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Q: Rewrite the expression so that it is not in fractional form. There is more than one correct form of…

A: sin2 y / 1-cos y To rewrite the expression so that it is not in fractional form

Q: Multiply. (Simplify your answer completely.) (1 – sin 0)(1 + sin 0)

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Q: The angle t is an acute angle and sin t and cost are given. Use identities to find tan t, csc t,…

A: Given,sin t = 45 and cos t = 35we find t an t CSCf, Sect, cost

Q: iven the values for cos 0 and sin 0, use the reciprocal and qu sa simplified fraction, if possible.…

A: Here we have, and We have to find,  a) b) c)

Q: Simplify 1+sin2x+cos2x/cosx

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Q: Find the exact value of the following expression. Write the answer as a single fraction. Do not use…

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Q: Rewrite the expression so that it is not in fractional form. There is more than one correct form of…

A: Consider the expression 6tan (x) + sec (x) To write the expression in a form without exponents,…

Q: State whether the following statement is true or false. Explain. The period of y = - 6 sin (3Tx -…

A: Given:

Q: Find the sine of ZE. 24 70 Simplify your answer and write it as a proper fraction, improper…

A: We can use the Pythagoras and trigonometrical ratio in order to solve the given problem.

Q: Find the exact value of the expression. If it's undefined, state that. Show all Work and clarify.…

A: Given expression is

Q: Solving

A: Given,

Q: cot x = 2 and x∈[2π,5π/2), find the value of cos x/2 Write the final answer as a single fraction in…

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Q: Simplify the lefthandside so that LHS = RHS: 2 1 + sin(b) 1+ cos(b) 1- cos(b) 1 tan(b) 2 1 1 +…

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Q: Use one or more of the six sum and difference identities to find the exact value of the expression.…

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Q: Rewrite sin(x+5pi/6) in terms of sin x and cos x. Enclose arguments of functions in parentheses.

A:

Q: 21 , 0°<a<90°, then find the exact value of each of the following. If tan a = b. cos c. tan a. sin…

A: Given that  For simplicity i have take u instead of α

Q: Find the sine of 2G. 16 H. 30 Simplify your answer and write it as a proper fraction, improper…

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Q: Establish the identity. cos 0+ sin 0 cos 0 - sin 0 sin 0 cos 0 = sec 0 csc 0 Subtract the fractions…

A: The left side can be simplified as: cos θ+sin θsin θ-cos θ-sin θcos θ=cos θcos θ+sin θ-sin θcos…

Q: For the given right triangle, the longer leg is 4 units long and the shorter leg is 3 units long.…

A: Consider a right angle triangle

Q: Verify the identity. 1- cos 2x tan x = sin 2x Use the appropriate double-angle formulas to rewrite…

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Q: Find the exact values of sin x, cos x, tan x, csc x, sec x, and cot x given that cos 2x = −3/7…

A: Given: cos 2x=-37 &amp; π&lt;2x&lt;3π2 To determine: Value of sin x, cos x, tan x, csc x, sec x, cot…

Q: 2 sin 2x= - 5 sin x-3 Select the correct choice below and, if necessary, fill in the answer box to…

A:

Q: 10. Find the exact value of the expression. (26 sec sin (Simplify your answer, including any…

A: w

Q: Rewrite the expression as a sum or difference, then simplify if possible. 6 sin 7x sin 4x

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Q: Find the exact value of sin 30 .**.. sin 30- (Simplity your answer, including any radicals. Use…

A: Given data is: Find the exact value of sin30∘

Q: find the exact value of sin 0. Write your answer as an integer or simplified fraction. Rationalize…

A: Please refer to the image below

Q: Write an expression in terms of sine and cosine, and then simplify so that no quotient appear in the…

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Q: Differentiate the following with respect to the variable x but do not simplify. c) y = cos-1 sqrt…

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Q: Simplify the expression    9 − x2  as much as possible after substituting 3 sin(θ) for x. (Assume…

A: Given: x=3sin(θ)   0° &lt; θ &lt; 90°…

Q: The angle t is an acute angle and sin t and cos t are given. Use identities to find tan t, csc t,…

A: solution is given below.

Q: Simplify the expression    64 − x2  as much as possible after substituting  8 sin θ  for x.…

A: We plug x=8 sin θ in the given expression