Without using tables or any calculating device
find the value of
√2/2 cos15° + √2/2 sin15°

Find the angles between 0° and 360° whose cosine is 0.55119

If cos θ = 3/5, find the value of (5csc θ - 4 tan θ)/(sec θ + cot θ)

Find the value of

cos 200° sin 160° + sin (- 340°) cos (- 380°)

Without using trigonometric tables, evaluate sin 35° sin 55° - cos 35° cos 55°

Find angle a°

Write the value of the angle in surd form cos 150°

Find the value of

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Find the value of
sin 225°

Find the angles between 0° and 360° whose sine is -0.9781

Find the value of
cosec 90°

Solve the equation
3tan(x + 25°) = -0.8391     for 0° ≤x≤ 360°

If 5 cot θ = 3, find the value of (5 sin θ - 3 cos θ)/(4 sin θ + 3 cos θ)

If tan θ + sec θ = 2/√3 and θ is a positive acute angle, find the value of sin θ.

Simplify:
 

Given that cos θ = -0.3420,
where 180° ≤θ≤ 360° , find θ

If θ is a positive acute angle and sec θ = 25/7, find the value of csc θ using trigonometric identity.

Solve the equation
4 cosx - 3 = 0 
for 0° ≤x≤ 360°

If (sec θ + tan θ)/(sec θ - tan θ) = 209/79, find the value of θ.

Without using tables or any calculating device
find the value of

sin35°cos5° - cos35°sin5°

Simplify the expression

Given that sin(A+B) = sinA cosB + cosA sinB, without using mathematical tables or calculator, evaluate sin 105°.

Find the value of

PQRS is a quadrilateral in which, PS is parallel to QR. PQ = 16cm, SR = 15 cm and angle QPS = 60° and angle PSQ = 44°.
Calculate /QS/

Find the value of θ (0° ≤ θ ≤ 90°), when sin² θ - 3 sin θ + 2 = 0