ERCISE 6 Evaluate, without using a calculator. cos 330°.sin 60° sin135° (a) tan 315°- 2 cos 60° + sin 210° (d) (b) cos 225° sin 570° + cos 240°- tan 135° tan 330° sin 410° (f) Cos 40°

Q: Find the exact value of the expression. 15 cos tan 8 12 Cos 13

A: Given expression costan-1158-cos-11213. The objective is to find the exact value of the expression.

Q: If csce * and 0° < 0 < 90°, what is tan 0? 5/3 4/3 3/5

A:

Q: Evaluate without using a calculator.     tan    -1 ( tan 4 pi/3)

A: The given expression is tan-1tan4π3

Q: Evaluate without using a calculator. Sin-1 1/2

A:

Q: 6) Evaluate the following without a calculator arccos (sin (-)

A:

Q: without a calculator tan(π/3)=

A:

Q: /3 Without using a calculator: tan¬1 ( 3

A:

Q: Evaluate without using a calculator.     tan    -1 ( tan 5pi/6)

A: tan-1tan5π6

Q: Find the exact value of the expression sin 100° cos 40° − cos 100° sin 40°

A: According to the sine difference formula, . This formula can be used to obtain the value of the…

Q: Give the exact value of the expression without using a calculator. 12 8 -D1 COS tan -1 + tan 15 12 8…

A: Use the inverse trigonometric formula, tan-1x+tan-1y=tan-1x+y1-xy So,…

Q: Find the exact value of sin 80° cos 50° − cos 80° sin 50°.

A: Given sin80°cos50°-cos80°sin50°

Q: Simplify without a calculator: sin(5 )cos(40°) + cos(5 )sin(40°) COS

A:

Q: Evaluate the exact value of 4 /5 tan sec 4

A: The objective is to evaluate the exact value.

Q: In Problems 21–30, find the exact value. Do not use a calculator. 117 25. csc 117 21. sin 22. cos…

A: We have to find the exact value of trigonometric function: 21.  sin 11π222.  cos7π23.  tan6π We know…

Q: Give the exact value of the expression without using a calculator. sin(2arccos(1/5))

A:

Q: Evaluate without using a calculator.       sec ( cos  -1 |1/5)

A: Given: seccos-115 we know that  secθ=1cosθ similarly, seccos-115=1coscos-115 we know that…

Q: Use a calculator to evaluate the expression in both rac 7. tan-(-1.7) 8. cos- 0.24

A: we can find the value of the given inverse trigonometric functions by applying directly to the…

Q: Find the exact value of the expression cos (5π/6 + 2πn) + tan (5π/6 + nπ), n is an integer.. Do not…

A:

Q: Find the exact value of the expression sin (3π/4 + 5π/6). Do not use a calculator.

A:

Q: Find the exact value of the expression. Not a decimal. Sin[tan^-1 (- square root of 3/3)]

A:

Q: show work.

A: To find the exact value of the below trigonometric expression

Q: Evaluate without using a calculator. sin−1(−1)

A: We have to evaluate: sin-1-1

Q: Rewrite the expression [sin(α + β) - sin(α - β)]/[cos(α + β) + cos(α - β)] as a simplified…

A: Given expression, sinα+β-sinα-βcosα+β+cosα-β

Q: Simplify without a calculator: cos(50°)cos(10°) – sin(50°)sin(10°) COS sin v 0.5

A:

Q: If x = 3 sin theta ,  Write the expression theta/2  - sin  2 theta /4   in terms of x

A: To write the given expression in terms of x, if x=3sinθ.

Q: Find the exact value of the expression. cos 50° cos 10° - sin 50° sin 10° sin 200° cos 80° - cos…

A: Evaluate 1)

Q: Give the exact value of the expression without using a calculator. 4 - 1 tan 3 COs tan - 1 12

A: Use the inverse trigonometric identities and solve the problem.

Q: Find the exact value of the given expression without using a calculator. 23n tan -- 4

A: The solution is :

Q: 2. Find the exact value of the expression. tan(10⁰) + tan (20⁰) 1-tan(10°) tan (20⁰)

A:

Q: 9 If 180° tan O Cesson 4 B. cos - tan 0

A:

Q: What is the simplified form of the expression 2 sin(10°) cos(10°): O sin 20° O sin 10° O cos 20° O…

A: To find the simplified form of:2sin10°cos10°

Q: Evaluate the expression without using a calculator. sin 4 元 + Cos 4 -

A: We kow…

Q: Find the exact value of the expression. Not a decimal.   Sin ^-1[cos(-4Pi/3)]

A: Please see the explanation below

Q: Evaluate the expression without using a calculator. sin 30° cos 60° + sin 60° cos 30°

A:

Q: cos [ tan-1 (4/3) + cos-1 (5/13)]

A: First we change the tan-1 into cos-1 . Then we add the inner two cos-1

Q: Evaluate the expression tan 4.7 cot 4.7 without using a calculator.

A:

Q: Find the exact value of the expression. + tan- 15 15 tan 1- tan tan- 15 15 |

A:

Q: Evaluate the expression without using a calculator: (sin(π/3)cos(π/4)-sin(π/4)cos(π/3))2

A: Given- sinπ3·cosπ4-sinπ4·cosπ32 To find- The value of the above expression.

Q: 4 cos? 20 -

A: Solve as quadratic

Q: Evaluate the expression tan2 1.4 - sec2 1.4, without using a calculator.

A: Given:tan21.4-sec21.4

Q: What is the value of tan theta, if sec theta = -3/2, and pi/6<theta<pi?

A: Here given  sec θ = -3/2 where π/6 &lt;  θ &lt; π 1/cos θ  = -3/2 cosθ = -2/3 Cos θ is negative in…

Q: Evaluate without using a calculator. sin cos 3

A:

Q: Give the exact value of the expression without using a calculator. 12 + tan 5 cos tan cos tan 12 +…

A: Given that: costan-1125+tan-134

Q: Find the exact value of the expression. tan 25° + tan 110° 1- tan 25° tan 110°

A: We have to find the exact value of the given expression: tan 25°+tan 110°1-tan 25° tan 110° We know…

Q: What is the simplified form of the expression 2 sin(10°) cos(10°)? O sin 10° no correct answer cos…

A:

Q: Evaluate the expression without using a calculator. 2 sin sin - cos 4 cos 6

A: Given,

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.